Search a number
-
+
32131031030232 = 23319191368915117
BaseRepresentation
bin1110100111001000101101…
…01100001101100111011000
311012202200210210112121122220
413103210112230031213120
513202413322420431412
6152200443013544040
76524250621311541
oct723442654154730
9135680723477586
1032131031030232
11a26876a3a9272
12372b261345020
1314c0c3535b1b4
147d121620d4c8
153aac063ca68c
hex1d3916b0d9d8

32131031030232 has 64 divisors (see below), whose sum is σ = 84998043187200. Its totient is φ = 10093517573760.

The previous prime is 32131031030179. The next prime is 32131031030237. The reversal of 32131031030232 is 23203013013123.

It is a super-3 number, since 3×321310310302323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131031030237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184370463 + ... + 184544654.

It is an arithmetic number, because the mean of its divisors is an integer number (1328094424800).

Almost surely, 232131031030232 is an apocalyptic number.

It is an amenable number.

32131031030232 is an abundant number, since it is smaller than the sum of its proper divisors (52867012156968).

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

32131031030232 is a wasteful number, since it uses less digits than its factorization.

32131031030232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368915336 (or 368915332 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 32131031030232 its reverse (23203013013123), we get a palindrome (55334044043355).

The spelling of 32131031030232 in words is "thirty-two trillion, one hundred thirty-one billion, thirty-one million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 191 228 382 456 573 764 1146 1528 2292 3629 4584 7258 10887 14516 21774 29032 43548 87096 368915117 737830234 1106745351 1475660468 2213490702 2951320936 4426981404 7009387223 8853962808 14018774446 21028161669 28037548892 42056323338 56075097784 70462787347 84112646676 140925574694 168225293352 211388362041 281851149388 422776724082 563702298776 845553448164 1338792959593 1691106896328 2677585919186 4016378878779 5355171838372 8032757757558 10710343676744 16065515515116 32131031030232