Search a number
-
+
10131111233232 = 2431119187710669
BaseRepresentation
bin1001001101101101010101…
…0010010100011011010000
31022212112011120010222212120
42103123111102110123100
52311442003433430412
633314100201454240
72063643244421553
oct223332522243320
938775146128776
1010131111233232
1132566421a0120
1211775887a1380
1358648a3149c2
142704c401c69a
1512880060ab8c
hex936d54946d0

10131111233232 has 40 divisors (see below), whose sum is σ = 28551313476960. Its totient is φ = 3070033706880.

The previous prime is 10131111233219. The next prime is 10131111233239. The reversal of 10131111233232 is 23233211113101.

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 (10131111233239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9593854807 + ... + 9593855862.

It is an arithmetic number, because the mean of its divisors is an integer number (713782836924).

Almost surely, 210131111233232 is an apocalyptic number.

10131111233232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131111233232 is an abundant number, since it is smaller than the sum of its proper divisors (18420202243728).

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

10131111233232 is a wasteful number, since it uses less digits than its factorization.

10131111233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19187710691 (or 19187710685 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 10131111233232 its reverse (23233211113101), we get a palindrome (33364322346333).

The spelling of 10131111233232 in words is "ten trillion, one hundred thirty-one billion, one hundred eleven million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19187710669 38375421338 57563132007 76750842676 115126264014 153501685352 211064817359 230252528028 307003370704 422129634718 460505056056 633194452077 844259269436 921010112112 1266388904154 1688518538872 2532777808308 3377037077744 5065555616616 10131111233232