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213003330001332 = 223132364791754987
BaseRepresentation
bin110000011011100110110011…
…110100100001100110110100
31000221011220211022010011220120
4300123212303310201212310
5210404321304440020312
62033004213503331540
762602661040534003
oct6033466364414664
91027156738104816
10213003330001332
1161962228889362
121ba815802b0bb0
1391b1187b02090
143a855b7dd4c3a
151995a8ac5328c
hexc1b9b3d219b4

213003330001332 has 96 divisors (see below), whose sum is σ = 559373640763392. Its totient is φ = 62593049329536.

The previous prime is 213003330001321. The next prime is 213003330001333. The reversal of 213003330001332 is 233100033300312.

213003330001332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130033300013322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003330001333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43556058 + ... + 48198929.

It is an arithmetic number, because the mean of its divisors is an integer number (5826808757952).

Almost surely, 2213003330001332 is an apocalyptic number.

It is an amenable number.

213003330001332 is an abundant number, since it is smaller than the sum of its proper divisors (346370310762060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213003330001332 is a wasteful number, since it uses less digits than its factorization.

213003330001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91755677 (or 91755675 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 213003330001332 its reverse (233100033300312), we get a palindrome (446103363301644).

The spelling of 213003330001332 in words is "two hundred thirteen trillion, three billion, three hundred thirty million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 647 897 1196 1294 1794 1941 2588 3588 3882 7764 8411 14881 16822 25233 29762 33644 44643 50466 59524 89286 100932 178572 193453 386906 580359 773812 1160718 2321436 91754987 183509974 275264961 367019948 550529922 1101059844 1192814831 2110364701 2385629662 3578444493 4220729402 4771259324 6331094103 7156888986 8441458804 12662188206 14313777972 25324376412 27434741113 54869482226 59365476589 82304223339 109738964452 118730953178 164608446678 178096429767 237461906356 329216893356 356192859534 712385719068 771751195657 1365405961547 1543502391314 2315253586971 2730811923094 3087004782628 4096217884641 4630507173942 5461623846188 8192435769282 9261014347884 16384871538564 17750277500111 35500555000222 53250832500333 71001110000444 106501665000666 213003330001332