Search a number
-
+
10131023021310 = 23251071110509469
BaseRepresentation
bin1001001101101101000000…
…0001110100010011111110
31022212111221102011100212100
42103123100001310103332
52311441313343140220
633314043331045530
72063641123554132
oct223332001642376
938774842140770
1010131023021310
1132565a7420204
1211775631408a6
13586474c6a8b9
142704b64193c2
151287e79d3d90
hex936d00744fe

10131023021310 has 48 divisors (see below), whose sum is σ = 26343121577760. Its totient is φ = 2701353654720.

The previous prime is 10131023021299. The next prime is 10131023021489. The reversal of 10131023021310 is 1312032013101.

10131023021310 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 23 + 0 + 21 + 310 = 666.

It is a super-2 number, since 2×101310230213102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4290745 + ... + 6218724.

It is an arithmetic number, because the mean of its divisors is an integer number (548815032870).

Almost surely, 210131023021310 is an apocalyptic number.

10131023021310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131023021310 is an abundant number, since it is smaller than the sum of its proper divisors (16212098556450).

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

10131023021310 is a wasteful number, since it uses less digits than its factorization.

10131023021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520193 (or 10520190 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131023021310 its reverse (1312032013101), we get a palindrome (11443055034411).

The spelling of 10131023021310 in words is "ten trillion, one hundred thirty-one billion, twenty-three million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10711 21422 32133 53555 64266 96399 107110 160665 192798 321330 481995 963990 10509469 21018938 31528407 52547345 63056814 94585221 105094690 157642035 189170442 315284070 472926105 945852210 112566922459 225133844918 337700767377 562834612295 675401534754 1013102302131 1125669224590 1688503836885 2026204604262 3377007673770 5065511510655 10131023021310