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120032230021 = 1131753101991
BaseRepresentation
bin110111111001001111…
…0100111101010000101
3102110211020211001202221
41233302132213222011
53431311222330041
6131050403132341
711446340056324
oct1576236475205
9373736731687
10120032230021
11469a6079000
121b31a6740b1
13b41ba903a2
145b497360bb
1531c7c202d1
hex1bf27a7a85

120032230021 has 64 divisors (see below), whose sum is σ = 143985641472. Its totient is φ = 99665280000.

The previous prime is 120032230009. The next prime is 120032230027.

120032230021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120032230021 - 219 = 120031705733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120032229977 and 120032230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120032230027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121121836 + ... + 121122826.

It is an arithmetic number, because the mean of its divisors is an integer number (2249775648).

Almost surely, 2120032230021 is an apocalyptic number.

120032230021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120032230021 is a deficient number, since it is larger than the sum of its proper divisors (23953411451).

120032230021 is a wasteful number, since it uses less digits than its factorization.

120032230021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 120032 and 230021, that added together give a palindrome (350053).

The spelling of 120032230021 in words is "one hundred twenty billion, thirty-two million, two hundred thirty thousand, twenty-one".

Divisors: 1 11 17 53 101 121 187 583 901 991 1111 1331 1717 2057 5353 6413 9911 10901 12221 16847 18887 22627 52523 58883 70543 91001 100091 109021 119911 134431 185317 207757 577753 647713 892891 1001011 1101001 1199231 1319021 1701547 2038487 2285327 5304823 6355283 7124843 9821801 11011121 12111011 18717017 22423357 58353053 69908113 90181991 108039811 121122331 133221121 205887187 641883583 992001901 1188437921 2264759057 7060719413 10912020911 120032230021