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102020120022231 = 32618311032029831
BaseRepresentation
bin10111001100100101101001…
…000000111000110011010111
3111101020000202120112102001100
4113030211221000320303113
5101332444201211202411
61000551221321401143
730326465452050255
oct2714455100706327
9441200676472040
10102020120022231
112a563543103504
12b5382239391b3
1344c05c0bb8cc8
141b29b2b8ab5d5
15bbdb9dd25456
hex5cc969038cd7

102020120022231 has 48 divisors (see below), whose sum is σ = 151720231283712. Its totient is φ = 66032480923200.

The previous prime is 102020120022203. The next prime is 102020120022241. The reversal of 102020120022231 is 132220021020201.

102020120022231 is a `hidden beast` number, since 10 + 2 + 0 + 201 + 200 + 22 + 231 = 666.

It is not a de Polignac number, because 102020120022231 - 25 = 102020120022199 is a prime.

It is a super-2 number, since 2×1020201200222312 (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 (102020120022241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49245486 + ... + 51275316.

It is an arithmetic number, because the mean of its divisors is an integer number (3160838151744).

Almost surely, 2102020120022231 is an apocalyptic number.

102020120022231 is a deficient number, since it is larger than the sum of its proper divisors (49700111261481).

102020120022231 is a wasteful number, since it uses less digits than its factorization.

102020120022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031084 (or 2031081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102020120022231 its reverse (132220021020201), we get a palindrome (234240141042432).

The spelling of 102020120022231 in words is "one hundred two trillion, twenty billion, one hundred twenty million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 61 83 183 249 549 747 1103 3309 5063 9927 15189 45567 67283 91549 201849 274647 605547 823941 2029831 5584489 6089493 16753467 18268479 50260401 123819691 168475973 371459073 505427919 1114377219 1516283757 2238903593 6716710779 10277034353 20150132337 30831103059 92493309177 136573119173 185828998219 409719357519 557486994657 1229158072557 1672460983971 11335568891359 34006706674077 102020120022231