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122131002030 = 235171911253783
BaseRepresentation
bin111000110111110010…
…0110011001010101110
3102200020112000201201120
41301233210303022232
54000111014031110
6132034535121410
711552343250212
oct1615744631256
9380215021646
10122131002030
1147882848524
121b805513266
13b69483b30b
145ca8382942
15329c0e3870
hex1c6f9332ae

122131002030 has 64 divisors (see below), whose sum is σ = 311981580288. Its totient is φ = 30491978240.

The previous prime is 122131002011. The next prime is 122131002031. The reversal of 122131002030 is 30200131221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131002031) 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, 529482 + ... + 724301.

It is an arithmetic number, because the mean of its divisors is an integer number (4874712192).

Almost surely, 2122131002030 is an apocalyptic number.

122131002030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122131002030 is an abundant number, since it is smaller than the sum of its proper divisors (189850578258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122131002030 is a wasteful number, since it uses less digits than its factorization.

122131002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254001.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122131002030 its reverse (30200131221), we get a palindrome (152331133251).

The spelling of 122131002030 in words is "one hundred twenty-two billion, one hundred thirty-one million, two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 191 255 382 510 573 955 1146 1910 2865 3247 5730 6494 9741 16235 19482 32470 48705 97410 1253783 2507566 3761349 6268915 7522698 12537830 18806745 21314311 37613490 42628622 63942933 106571555 127885866 213143110 239472553 319714665 478945106 639429330 718417659 1197362765 1436835318 2394725530 3592088295 4071033401 7184176590 8142066802 12213100203 20355167005 24426200406 40710334010 61065501015 122131002030