Search a number
-
+
10112001110112 = 253119575758627
BaseRepresentation
bin1001001100100110001000…
…1110111111000001100000
31022210200211202002011012210
42103021202032333001200
52311133334241010422
633301220021322120
72062365546152106
oct223114216770140
938720752064183
1010112001110112
113249526009840
121173934866340
135847330cab45
1426d5cddb9c76
15128082a6c10c
hex932623bf060

10112001110112 has 48 divisors (see below), whose sum is σ = 28957094091072. Its totient is φ = 3064242760320.

The previous prime is 10112001110017. The next prime is 10112001110129. The reversal of 10112001110112 is 21101110021101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4787878258 + ... + 4787880369.

It is an arithmetic number, because the mean of its divisors is an integer number (603272793564).

Almost surely, 210112001110112 is an apocalyptic number.

10112001110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112001110112 is an abundant number, since it is smaller than the sum of its proper divisors (18845092980960).

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

10112001110112 is a wasteful number, since it uses less digits than its factorization.

10112001110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575758651 (or 9575758643 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10112001110112 its reverse (21101110021101), we get a palindrome (31213111131213).

The spelling of 10112001110112 in words is "ten trillion, one hundred twelve billion, one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9575758627 19151517254 28727275881 38303034508 57454551762 76606069016 105333344897 114909103524 153212138032 210666689794 229818207048 306424276064 316000034691 421333379588 459636414096 632000069382 842666759176 919272828192 1264000138764 1685333518352 2528000277528 3370667036704 5056000555056 10112001110112