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1213013002032 = 243213249844387
BaseRepresentation
bin10001101001101101001…
…101011000011100110000
311021221222221222002212200
4101221231031120130300
5124333222312031112
62325130034223200
7153431410252326
oct21515515303460
94257887862780
101213013002032
11428488242127
1217710b724b00
138a50458c800
14429d28b9d16
1521847359cdc
hex11a6d358730

1213013002032 has 90 divisors (see below), whose sum is σ = 3675973770612. Its totient is φ = 373234762368.

The previous prime is 1213013002009. The next prime is 1213013002079. The reversal of 1213013002032 is 2302003103121.

1213013002032 is a `hidden beast` number, since 12 + 1 + 301 + 300 + 20 + 32 = 666.

It is a super-2 number, since 2×12130130020322 (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 = 1213013001996 and 1213013002014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24897858 + ... + 24946529.

Almost surely, 21213013002032 is an apocalyptic number.

1213013002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1213013002032 is an abundant number, since it is smaller than the sum of its proper divisors (2462960768580).

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

1213013002032 is a wasteful number, since it uses less digits than its factorization.

1213013002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49844427 (or 49844405 counting only the distinct ones).

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

Adding to 1213013002032 its reverse (2302003103121), we get a palindrome (3515016105153).

The spelling of 1213013002032 in words is "one trillion, two hundred thirteen billion, thirteen million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 49844387 99688774 149533161 199377548 299066322 398755096 448599483 598132644 647977031 797510192 897198966 1196265288 1295954062 1794397932 1943931093 2392530576 2591908124 3588795864 3887862186 5183816248 5831793279 7177591728 7775724372 8423701403 10367632496 11663586558 15551448744 16847402806 23327173116 25271104209 31102897488 33694805612 46654346232 50542208418 67389611224 75813312627 93308692464 101084416836 134779222448 151626625254 202168833672 303253250508 404337667344 606506501016 1213013002032