Search a number
-
+
10121223100131 = 32111319340747141
BaseRepresentation
bin1001001101001000011111…
…1010000101011011100011
31022211120122102212210021200
42103102013322011123203
52311311231103201011
633305343052452243
72063143225605303
oct223220772053343
938746572783250
1010121223100131
1132524286423a0
12117568917a083
13585572864580
1426dc26a99603
15128422498856
hex93487e856e3

10121223100131 has 48 divisors (see below), whose sum is σ = 17264401076832. Its totient is φ = 5632884633600.

The previous prime is 10121223100081. The next prime is 10121223100133. The reversal of 10121223100131 is 13100132212101.

10121223100131 is a `hidden beast` number, since 10 + 1 + 212 + 2 + 310 + 0 + 131 = 666.

10121223100131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121223100131 - 26 = 10121223100067 is a prime.

It is a super-2 number, since 2×101212231001312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121223100133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20125180 + ... + 20621961.

It is an arithmetic number, because the mean of its divisors is an integer number (359675022434).

Almost surely, 210121223100131 is an apocalyptic number.

10121223100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121223100131 is a deficient number, since it is larger than the sum of its proper divisors (7143177976701).

10121223100131 is a wasteful number, since it uses less digits than its factorization.

10121223100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40747364 (or 40747361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10121223100131 its reverse (13100132212101), we get a palindrome (23221355312232).

The spelling of 10121223100131 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 193 429 579 1287 1737 2123 2509 6369 7527 19107 22581 27599 82797 248391 40747141 122241423 366724269 448218551 529712833 1344655653 1589138499 4033966959 4767415497 5826841163 7864198213 17480523489 23592594639 52441570467 70777783917 86506180343 102234576769 259518541029 306703730307 778555623087 920111190921 1124580344459 3373741033377 10121223100131