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123032001211223 = 13229611273240409
BaseRepresentation
bin11011111110010110011110…
…101110100110101101010111
3121010121202002200222021110212
4123332112132232212231113
5112111224014302224343
61113400042053240035
734625524453225166
oct3376263656465527
9533552080867425
10123032001211223
1136224640278595
121197051433301b
135385b38b01400
142254ad00a33dd
15e35528524c18
hex6fe59eba6b57

123032001211223 has 48 divisors (see below), whose sum is σ = 141180256742400. Its totient is φ = 107005012208640.

The previous prime is 123032001211213. The next prime is 123032001211243. The reversal of 123032001211223 is 322112100230321.

It is not a de Polignac number, because 123032001211223 - 228 = 123031732775767 is a prime.

It is a super-2 number, since 2×1230320012112232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123032001211213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36347843 + ... + 39588251.

It is an arithmetic number, because the mean of its divisors is an integer number (2941255348800).

Almost surely, 2123032001211223 is an apocalyptic number.

123032001211223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123032001211223 is a deficient number, since it is larger than the sum of its proper divisors (18148255531177).

123032001211223 is a wasteful number, since it uses less digits than its factorization.

123032001211223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240652 (or 3240639 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123032001211223 its reverse (322112100230321), we get a palindrome (445144101441544).

The spelling of 123032001211223 in words is "one hundred twenty-three trillion, thirty-two billion, one million, two hundred eleven thousand, two hundred twenty-three".

Divisors: 1 13 29 61 127 169 377 793 1651 1769 3683 4901 7747 10309 21463 22997 47879 100711 224663 298961 622427 1309243 2920619 3240409 37968047 42125317 93971861 197664949 411531943 547629121 1221634193 2569644337 5349915259 5732283521 11934426347 15881244509 25103448523 33405376381 69548898367 74519685773 155147542511 326344830799 728000007167 968755915049 2016918052643 4242482800387 9464000093171 123032001211223