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2001031014132 = 2232793067229409
BaseRepresentation
bin11101000111100110101…
…111100010011011110100
321002022000021212210110200
4131013212233202123310
5230241102414423012
64131132211120500
7264366261660123
oct35074657423364
97068007783420
102001031014132
117016a5927a87
122839912a3130
1311690903ccc7
146cbc9791aba
15370b87883dc
hex1d1e6be26f4

2001031014132 has 72 divisors (see below), whose sum is σ = 5123881526400. Its totient is φ = 658349572608.

The previous prime is 2001031013981. The next prime is 2001031014133. The reversal of 2001031014132 is 2314101301002.

2001031014132 is a `hidden beast` number, since 200 + 10 + 310 + 14 + 132 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001031014133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8607844 + ... + 8837252.

It is an arithmetic number, because the mean of its divisors is an integer number (71165021200).

Almost surely, 22001031014132 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 2001031014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561940763200).

2001031014132 is an abundant number, since it is smaller than the sum of its proper divisors (3122850512268).

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

2001031014132 is a wasteful number, since it uses less digits than its factorization.

2001031014132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232565 (or 232560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2001031014132 its reverse (2314101301002), we get a palindrome (4315132315134).

The spelling of 2001031014132 in words is "two trillion, one billion, thirty-one million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 3067 6134 9201 12268 18402 27603 36804 55206 110412 229409 242293 458818 484586 688227 726879 917636 969172 1376454 1453758 2064681 2180637 2752908 2907516 4129362 4361274 8258724 8722548 18123311 36246622 54369933 72493244 108739866 163109799 217479732 326219598 652439196 703597403 1407194806 2110792209 2814389612 4221584418 6332376627 8443168836 12664753254 25329506508 55584194837 111168389674 166752584511 222336779348 333505169022 500257753533 667010338044 1000515507066 2001031014132