Search a number
-
+
1012111020 = 2232529193891
BaseRepresentation
bin111100010100111…
…001011010101100
32121112110120022100
4330110321122230
54033100023040
6244233015100
734036541664
oct7424713254
92545416270
101012111020
1147a345a98
12242b54490
131318ba87b
14985c11a4
155dcc4b30
hex3c5396ac

1012111020 has 72 divisors (see below), whose sum is σ = 3175950960. Its totient is φ = 260588160.

The previous prime is 1012110989. The next prime is 1012111039. The reversal of 1012111020 is 201112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012110993 and 1012111011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91726 + ... + 102165.

It is an arithmetic number, because the mean of its divisors is an integer number (44110430).

Almost surely, 21012111020 is an apocalyptic number.

1012111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012111020 is an abundant number, since it is smaller than the sum of its proper divisors (2163839940).

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

1012111020 is a wasteful number, since it uses less digits than its factorization.

1012111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193935 (or 193930 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1012111020 is about 31813.6923352194. The cubic root of 1012111020 is about 1004.0208180210.

Adding to 1012111020 its reverse (201112101), we get a palindrome (1213223121).

The spelling of 1012111020 in words is "one billion, twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 193891 387782 581673 775564 969455 1163346 1745019 1938910 2326692 2908365 3490038 3877820 5622839 5816730 6980076 8725095 11245678 11633460 16868517 17450190 22491356 28114195 33737034 34900380 50605551 56228390 67474068 84342585 101211102 112456780 168685170 202422204 253027755 337370340 506055510 1012111020