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1114200111112 = 2311611092697079
BaseRepresentation
bin10000001101101011100…
…000000111100000001000
310221111221112002011010221
4100031223200013200020
5121223340212023422
62211504555115424
7143332626452254
oct20155340074010
93844845064127
101114200111112
1139a590a08710
1215bb33442b74
13810b79acb9a
143bcdb391264
151deb24613c7
hex1036b807808

1114200111112 has 128 divisors (see below), whose sum is σ = 2346680160000. Its totient is φ = 491677516800.

The previous prime is 1114200111097. The next prime is 1114200111127. The reversal of 1114200111112 is 2111110024111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1114200111097) and next prime (1114200111127).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157391589 + ... + 157398667.

It is an arithmetic number, because the mean of its divisors is an integer number (18333438750).

Almost surely, 21114200111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114200111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173340080000).

1114200111112 is an abundant number, since it is smaller than the sum of its proper divisors (1232480048888).

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

1114200111112 is a wasteful number, since it uses less digits than its factorization.

1114200111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1114200111112 its reverse (2111110024111), we get a palindrome (3225310135223).

The spelling of 1114200111112 in words is "one trillion, one hundred fourteen billion, two hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 109 122 218 244 269 436 488 538 671 872 1076 1199 1342 2152 2398 2684 2959 4796 5368 5918 6649 7079 9592 11836 13298 14158 16409 23672 26596 28316 29321 32818 53192 56632 58642 65636 73139 77869 117284 131272 146278 155738 180499 234568 292556 311476 322531 360998 431819 585112 622952 645062 721996 771611 863638 1290124 1443992 1543222 1727276 1788581 1904251 2580248 3086444 3454552 3577162 3808502 4750009 6172888 7154324 7617004 8487721 9500018 14308648 15234008 16975442 19000036 19674391 20946761 33950884 38000072 39348782 41893522 47068271 67901768 78697564 83787044 94136542 116159311 157395128 167574088 188273084 207563359 232318622 376546168 415126718 464637244 517750981 830253436 929274488 1035501962 1277752421 1660506872 2071003924 2283196949 2555504842 4142007848 4566393898 5111009684 9132787796 10222019368 12661364899 18265575592 25322729798 50645459596 101290919192 139275013889 278550027778 557100055556 1114200111112