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122102023110 = 2352926179337
BaseRepresentation
bin111000110110111011…
…0010000001111000110
3102200011111111110010020
41301231312100033012
54000031104214420
6132032022040010
711551542033444
oct1615566201706
9380144443106
10122102023110
1147868455201
121b7b7879006
13b68b833022
145ca459bb94
1532997bc340
hex1c6dd903c6

122102023110 has 96 divisors (see below), whose sum is σ = 308477568672. Its totient is φ = 30921999360.

The previous prime is 122102023103. The next prime is 122102023151. The reversal of 122102023110 is 11320201221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122102023110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499362 + ... + 1578698.

It is an arithmetic number, because the mean of its divisors is an integer number (3213308007).

Almost surely, 2122102023110 is an apocalyptic number.

122102023110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102023110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154238784336).

122102023110 is an abundant number, since it is smaller than the sum of its proper divisors (186375545562).

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

122102023110 is a wasteful number, since it uses less digits than its factorization.

122102023110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79466 (or 79437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122102023110 its reverse (11320201221), we get a palindrome (133422224331).

The spelling of 122102023110 in words is "one hundred twenty-two billion, one hundred two million, twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 61 87 122 145 174 183 290 305 366 435 610 841 870 915 1682 1769 1830 2523 3538 4205 5046 5307 8410 8845 10614 12615 17690 25230 26535 51301 53070 79337 102602 153903 158674 238011 256505 307806 396685 476022 513010 769515 793370 1190055 1539030 2300773 2380110 4601546 4839557 6902319 9679114 11503865 13804638 14518671 23007730 24197785 29037342 34511595 48395570 66722417 69023190 72593355 133444834 140347153 145186710 200167251 280694306 333612085 400334502 421041459 667224170 701735765 842082918 1000836255 1403471530 2001672510 2105207295 4070067437 4210414590 8140134874 12210202311 20350337185 24420404622 40700674370 61051011555 122102023110