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1120232234004 = 22313127283199799
BaseRepresentation
bin10000010011010011000…
…010110101110000010100
310222002111220120202010220
4100103103002311300110
5121323213422442004
62214343320314340
7143635253610342
oct20232302656024
93862456522126
101120232234004
113a20a6989944
121611376129b0
1381839614c80
143c310562992
151e216ce1dd9
hex104d30b5c14

1120232234004 has 96 divisors (see below), whose sum is σ = 2847146803200. Its totient is φ = 340762681728.

The previous prime is 1120232233943. The next prime is 1120232234027. The reversal of 1120232234004 is 4004322320211.

It is a happy number.

It is a super-2 number, since 2×11202322340042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 5506897 + ... + 5706695.

It is an arithmetic number, because the mean of its divisors is an integer number (29657779200).

Almost surely, 21120232234004 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 1120232234004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423573401600).

1120232234004 is an abundant number, since it is smaller than the sum of its proper divisors (1726914569196).

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

1120232234004 is a wasteful number, since it uses less digits than its factorization.

1120232234004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200229 (or 200227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1120232234004 its reverse (4004322320211), we get a palindrome (5124554554215).

The spelling of 1120232234004 in words is "one trillion, one hundred twenty billion, two hundred thirty-two million, two hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 283 381 508 566 762 849 1132 1524 1651 1698 3302 3396 3679 4953 6604 7358 9906 11037 14716 19812 22074 35941 44148 71882 107823 143764 199799 215646 399598 431292 467233 599397 799196 934466 1198794 1401699 1868932 2397588 2597387 2803398 5194774 5606796 7792161 10389548 15584322 25374473 31168644 50748946 56543117 76123419 101497892 113086234 152246838 169629351 226172468 304493676 329868149 339258702 659736298 678517404 735060521 989604447 1319472596 1470121042 1979208894 2205181563 2940242084 3958417788 4410363126 7180975859 8820726252 14361951718 21542927577 28723903436 43085855154 86171710308 93352686167 186705372334 280058058501 373410744668 560116117002 1120232234004