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100102020002010 = 232513671276974359
BaseRepresentation
bin10110110000101011010001…
…010101111111000011011010
3111010102122210212221121100200
4112300223101111333003122
5101110032414110031020
6552522122205243030
730041063241640365
oct2660532125770332
9433378725847320
10100102020002010
1129994034700724
12b288537b63476
1343b17702b4040
141aa0d6c2570dc
15b88d3b01d590
hex5b0ad157f0da

100102020002010 has 96 divisors (see below), whose sum is σ = 284469024228480. Its totient is φ = 24272728596864.

The previous prime is 100102020002003. The next prime is 100102020002027. The reversal of 100102020002010 is 10200020201001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102020001983 and 100102020002001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638408790 + ... + 638565569.

It is an arithmetic number, because the mean of its divisors is an integer number (2963219002380).

Almost surely, 2100102020002010 is an apocalyptic number.

100102020002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102020002010 is an abundant number, since it is smaller than the sum of its proper divisors (184367004226470).

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

100102020002010 is a wasteful number, since it uses less digits than its factorization.

100102020002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276974452 (or 1276974449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102020002010 its reverse (10200020201001), we get a palindrome (110302040203011).

The spelling of 100102020002010 in words is "one hundred trillion, one hundred two billion, twenty million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 67 78 90 117 130 134 195 201 234 335 390 402 585 603 670 871 1005 1170 1206 1742 2010 2613 3015 4355 5226 6030 7839 8710 13065 15678 26130 39195 78390 1276974359 2553948718 3830923077 6384871795 7661846154 11492769231 12769743590 16600666667 19154615385 22985538462 33201333334 38309230770 49802000001 57463846155 83003333335 85557282053 99604000002 114927692310 149406000003 166006666670 171114564106 249010000005 256671846159 298812000006 427786410265 498020000010 513343692318 747030000015 770015538477 855572820530 1112244666689 1283359230795 1494060000030 1540031076954 2224489333378 2566718461590 3336734000067 3850077692385 5561223333445 6673468000134 7700155384770 10010202000201 11122446666890 16683670000335 20020404000402 33367340000670 50051010001005 100102020002010