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100122210122010 = 23547240607295123
BaseRepresentation
bin10110110000111110000100…
…110001001011100100011010
3111010111120220222012222012220
4112300332010301023210122
5101110400241242401020
6552535301445444510
730042406463062116
oct2660760461134432
9433446828188186
10100122210122010
11299a165548470a
12b290431710736
1343b363a196bcb
141aa1d258ac746
15b8961d7e1240
hex5b0f84c4b91a

100122210122010 has 64 divisors (see below), whose sum is σ = 245407779274752. Its totient is φ = 26130989606976.

The previous prime is 100122210121993. The next prime is 100122210122047. The reversal of 100122210122010 is 10221012221001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339108309 + ... + 339403431.

It is an arithmetic number, because the mean of its divisors is an integer number (3834496551168).

Almost surely, 2100122210122010 is an apocalyptic number.

100122210122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122210122010 is an abundant number, since it is smaller than the sum of its proper divisors (145285569152742).

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

100122210122010 is a wasteful number, since it uses less digits than its factorization.

100122210122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535787.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122210122010 its reverse (10221012221001), we get a palindrome (110343222343011).

The spelling of 100122210122010 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 240607 295123 481214 590246 721821 885369 1203035 1443642 1475615 1770738 2406070 2951230 3609105 4426845 7218210 8853690 11308529 13870781 22617058 27741562 33925587 41612343 56542645 67851174 69353905 83224686 113085290 138707810 169627935 208061715 339255870 416123430 71008659661 142017319322 213025978983 355043298305 426051957966 710086596610 1065129894915 2130259789830 3337407004067 6674814008134 10012221012201 16687035020335 20024442024402 33374070040670 50061105061005 100122210122010