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122132213020131 = 33119943915032447
BaseRepresentation
bin11011110001010000011111…
…001011000011010111100011
3121000102201120220202012102220
4123301100133023003113203
5112002003233013121011
61111430433013442123
734503522043624266
oct3361203713032743
9530381526665386
10122132213020131
1135a07a872a6986
121184605b040343
13531c0311a5622
142223332c94cdd
15e1be148d6506
hex6f141f2c35e3

122132213020131 has 32 divisors (see below), whose sum is σ = 169325494272000. Its totient is φ = 78220430814240.

The previous prime is 122132213020123. The next prime is 122132213020217. The reversal of 122132213020131 is 131020312231221.

It is not a de Polignac number, because 122132213020131 - 23 = 122132213020123 is a prime.

It is a super-2 number, since 2×1221322130201312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122132213020931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608350 + ... + 15640796.

It is an arithmetic number, because the mean of its divisors is an integer number (5291421696000).

Almost surely, 2122132213020131 is an apocalyptic number.

122132213020131 is a deficient number, since it is larger than the sum of its proper divisors (47193281251869).

122132213020131 is a wasteful number, since it uses less digits than its factorization.

122132213020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033119.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122132213020131 its reverse (131020312231221), we get a palindrome (253152525251352).

The spelling of 122132213020131 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred thirteen million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 31 93 199 439 597 1317 6169 13609 18507 40827 87361 262083 2708191 8124573 15032447 45097341 466005857 1398017571 2991456953 6599244233 8974370859 19797732699 92735165543 204576571223 278205496629 613729713669 1313249602367 3939748807101 40710737673377 122132213020131