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122030177031 = 32729197339049
BaseRepresentation
bin111000110100110010…
…0001011101100000111
3102122222111022021211100
41301221210023230013
53444404211131111
6132020534111143
711550010250610
oct1615144135407
9378874267740
10122030177031
1147830943184
121b7977ab4b3
13b679999159
145c98c18c07
153293329756
hex1c6990bb07

122030177031 has 48 divisors (see below), whose sum is σ = 209451528000. Its totient is φ = 66985035264.

The previous prime is 122030176997. The next prime is 122030177057. The reversal of 122030177031 is 130771030221.

It is not a de Polignac number, because 122030177031 - 210 = 122030176007 is a prime.

It is a super-2 number, since 2×1220301770312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122030176986 and 122030177004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030177131) 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, 190395 + ... + 529443.

It is an arithmetic number, because the mean of its divisors is an integer number (4363573500).

Almost surely, 2122030177031 is an apocalyptic number.

122030177031 is a deficient number, since it is larger than the sum of its proper divisors (87421350969).

122030177031 is a wasteful number, since it uses less digits than its factorization.

122030177031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339288 (or 339285 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 122030177031 in words is "one hundred twenty-two billion, thirty million, one hundred seventy-seven thousand, thirty-one".

Divisors: 1 3 7 9 21 29 63 87 197 203 261 591 609 1379 1773 1827 4137 5713 12411 17139 39991 51417 119973 339049 359919 1017147 2373343 3051441 7120029 9832421 21360087 29497263 66792653 68826947 88491789 200377959 206480841 467548571 601133877 619442523 1402645713 1936986937 4207937139 5810960811 13558908559 17432882433 40676725677 122030177031