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23132121112212 = 22378333131001467
BaseRepresentation
bin1010100001001110111011…
…10111001001111010010100
310000220102001021220200200020
411100213131313021322110
511012444041001042322
6121110425535345140
74605145345140660
oct520473567117224
9100812037820606
1023132121112212
117409306350942
1227171b06821b0
13cba471288a38
1459d85a2038a0
152a1abd77605c
hex1509dddc9e94

23132121112212 has 96 divisors (see below), whose sum is σ = 62447762936832. Its totient is φ = 6527571411456.

The previous prime is 23132121112211. The next prime is 23132121112231. The reversal of 23132121112212 is 21221112123132.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132121112211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22597503 + ... + 23598969.

It is an arithmetic number, because the mean of its divisors is an integer number (650497530592).

Almost surely, 223132121112212 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 23132121112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31223881468416).

23132121112212 is an abundant number, since it is smaller than the sum of its proper divisors (39315641824620).

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

23132121112212 is a wasteful number, since it uses less digits than its factorization.

23132121112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004877 (or 1004875 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 23132121112212 its reverse (21221112123132), we get a palindrome (44353233235344).

The spelling of 23132121112212 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3313 3486 6626 6972 9939 13252 19878 23191 39756 46382 69573 92764 139146 274979 278292 549958 824937 1001467 1099916 1649874 1924853 2002934 3004401 3299748 3849706 4005868 5774559 6008802 7010269 7699412 11549118 12017604 14020538 21030807 23098236 28041076 42061614 83121761 84123228 166243522 249365283 332487044 498730566 581852327 997461132 1163704654 1745556981 2327409308 3317860171 3491113962 6635720342 6982227924 9953580513 13271440684 19907161026 23225021197 39814322052 46450042394 69675063591 92900084788 139350127182 275382394193 278700254364 550764788386 826147182579 1101529576772 1652294365158 1927676759351 3304588730316 3855353518702 5783030278053 7710707037404 11566060556106 23132121112212