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1020300113232 = 243237191497769
BaseRepresentation
bin11101101100011101010…
…00000011010101010000
310121112120110200000200200
432312032220003111100
5113204033312110412
62100415220215200
7133466662603431
oct16661650032520
93545513600620
101020300113232
113637858a6484
121458a853a500
13752a1bb096a
1437550531488
151b818a149dc
hexed8ea03550

1020300113232 has 60 divisors (see below), whose sum is σ = 2932596849780. Its totient is φ = 330908143104.

The previous prime is 1020300113227. The next prime is 1020300113251. The reversal of 1020300113232 is 2323110030201.

1020300113232 is a `hidden beast` number, since 1 + 0 + 20 + 300 + 113 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417465885456 + 602834227776 = 646116^2 + 776424^2 .

It is a super-2 number, since 2×10203001132322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95743557 + ... + 95754212.

It is an arithmetic number, because the mean of its divisors is an integer number (48876614163).

Almost surely, 21020300113232 is an apocalyptic number.

1020300113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020300113232 is an abundant number, since it is smaller than the sum of its proper divisors (1912296736548).

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

1020300113232 is a wasteful number, since it uses less digits than its factorization.

1020300113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191497820 (or 191497811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020300113232 its reverse (2323110030201), we get a palindrome (3343410143433).

The spelling of 1020300113232 in words is "one trillion, twenty billion, three hundred million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 191497769 382995538 574493307 765991076 1148986614 1531982152 1723479921 2297973228 3063964304 3446959842 4595946456 6893919684 7085417453 9191892912 13787839368 14170834906 21256252359 27575678736 28341669812 42512504718 56683339624 63768757077 85025009436 113366679248 127537514154 170050018872 255075028308 340100037744 510150056616 1020300113232