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1030102312032 = 253211331652603
BaseRepresentation
bin11101111110101101110…
…00011110010001100000
310122110212121020022120200
432333112320132101200
5113334122142441112
62105120015305200
7134264616116463
oct16772670362140
93573777208520
101030102312032
1136795599a522
1214778321b200
13761a49038b1
1437c002c52da
151bbde34ecdc
hexefd6e1e460

1030102312032 has 72 divisors (see below), whose sum is σ = 2955277025064. Its totient is φ = 340328776704.

The previous prime is 1030102311971. The next prime is 1030102312079. The reversal of 1030102312032 is 2302132010301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10301023120322 (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 junction number, because it is equal to n+sod(n) for n = 1030102311996 and 1030102312014.

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, 15793758 + ... + 15858845.

It is an arithmetic number, because the mean of its divisors is an integer number (41045514237).

Almost surely, 21030102312032 is an apocalyptic number.

1030102312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030102312032 is an abundant number, since it is smaller than the sum of its proper divisors (1925174713032).

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

1030102312032 is a wasteful number, since it uses less digits than its factorization.

1030102312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31652732 (or 31652721 counting only the distinct ones).

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

Adding to 1030102312032 its reverse (2302132010301), we get a palindrome (3332234322333).

The spelling of 1030102312032 in words is "one trillion, thirty billion, one hundred two million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 31652603 63305206 94957809 126610412 189915618 253220824 284873427 379831236 506441648 569746854 759662472 1012883296 1139493708 1519324944 2278987416 3038649888 3576744139 4557974832 7153488278 9115949664 10730232417 14306976556 21460464834 28613953112 32190697251 42920929668 57227906224 64381394502 85841859336 114455812448 128762789004 171683718672 257525578008 343367437344 515051156016 1030102312032