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122113121030010 = 232511413008453339
BaseRepresentation
bin11011110000111110101101…
…001100111000111101111010
3121000100220022100210121120200
4123300332231030320331322
5112001200132440430020
61111413554322103030
734502244655446435
oct3360765514707572
9530326270717520
10122113121030010
11359aa97a380150
12118424111aaa76
13531a2aa96a156
14222244141281c
15e1b69872a590
hex6f0fad338f7a

122113121030010 has 96 divisors (see below), whose sum is σ = 354804953106240. Its totient is φ = 28881152044800.

The previous prime is 122113121029957. The next prime is 122113121030023. The reversal of 122113121030010 is 10030121311221.

122113121030010 is a `hidden beast` number, since 1 + 2 + 21 + 131 + 210 + 300 + 1 + 0 = 666.

It is a super-2 number, since 2×1221131210300102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504186080 + ... + 1504267259.

It is an arithmetic number, because the mean of its divisors is an integer number (3695884928190).

Almost surely, 2122113121030010 is an apocalyptic number.

122113121030010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122113121030010 is an abundant number, since it is smaller than the sum of its proper divisors (232691832076230).

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

122113121030010 is a wasteful number, since it uses less digits than its factorization.

122113121030010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008453404 (or 3008453401 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122113121030010 its reverse (10030121311221), we get a palindrome (132143242341231).

The spelling of 122113121030010 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-one million, thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3690 4059 4510 6765 8118 13530 20295 40590 3008453339 6016906678 9025360017 15042266695 18050720034 27076080051 30084533390 33092986729 45126800085 54152160102 66185973458 90253600170 99278960187 123346586899 135380400255 165464933645 198557920374 246693173798 270760800510 297836880561 330929867290 370039760697 496394800935 595673761122 616732934495 740079521394 992789601870 1110119282091 1233465868990 1356812455889 1489184402805 1850198803485 2220238564182 2713624911778 2978368805610 3700397606970 4070437367667 5550596410455 6784062279445 8140874735334 11101192820910 12211312103001 13568124558890 20352186838335 24422624206002 40704373676670 61056560515005 122113121030010