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1111221021312 = 27323726070313
BaseRepresentation
bin10000001010111001111…
…011110010101010000000
310221020020220101201012200
4100022321323302222000
5121201240040140222
62210253214553200
7143166043556253
oct20127173625200
93836226351180
101111221021312
113992a232a426
1215b441808800
1380a3173a15c
143bad786d09a
151dd8ab4ceac
hex102b9ef2a80

1111221021312 has 96 divisors (see below), whose sum is σ = 3284077454580. Its totient is φ = 360395993088.

The previous prime is 1111221021269. The next prime is 1111221021331. The reversal of 1111221021312 is 2131201221111.

It is a happy number.

1111221021312 is a `hidden beast` number, since 1 + 111 + 221 + 0 + 21 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1102046446656 + 9174574656 = 1049784^2 + 95784^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 12992533 + ... + 13077780.

Almost surely, 21111221021312 is an apocalyptic number.

1111221021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111221021312 is an abundant number, since it is smaller than the sum of its proper divisors (2172856433268).

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

1111221021312 is a wasteful number, since it uses less digits than its factorization.

1111221021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26070370 (or 26070355 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1111221021312 its reverse (2131201221111), we get a palindrome (3242422242423).

The spelling of 1111221021312 in words is "one trillion, one hundred eleven billion, two hundred twenty-one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 42624 26070313 52140626 78210939 104281252 156421878 208562504 234632817 312843756 417125008 469265634 625687512 834250016 938531268 964601581 1251375024 1668500032 1877062536 1929203162 2502750048 2893804743 3337000064 3754125072 3858406324 5005500096 5787609486 7508250144 7716812648 8681414229 10011000192 11575218972 15016500288 15433625296 17362828458 23150437944 30033000576 30867250592 34725656916 46300875888 61734501184 69451313832 92601751776 123469002368 138902627664 185203503552 277805255328 370407007104 555610510656 1111221021312