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120002102010 = 23257227211361
BaseRepresentation
bin110111111000010101…
…1101100001011111010
3102110202011010101220200
41233300223230023322
53431231014231020
6131043405303030
711445523015500
oct1576053541372
9373664111820
10120002102010
114699007041a
121b310564a76
13b41577206b
145b45732670
1531c526d590
hex1bf0aec2fa

120002102010 has 72 divisors (see below), whose sum is σ = 362945146356. Its totient is φ = 27429050880.

The previous prime is 120002101981. The next prime is 120002102029. The reversal of 120002102010 is 10201200021.

It can be written as a sum of positive squares in 2 ways, for example, as 115578920961 + 4423181049 = 339969^2 + 66507^2 .

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 = 120002101983 and 120002102001.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13601271 + ... + 13610090.

Almost surely, 2120002102010 is an apocalyptic number.

120002102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120002102010 is an abundant number, since it is smaller than the sum of its proper divisors (242943044346).

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

120002102010 is a wasteful number, since it uses less digits than its factorization.

120002102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27211388 (or 27211378 counting only the distinct ones).

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

Adding to 120002102010 its reverse (10201200021), we get a palindrome (130203302031).

The spelling of 120002102010 in words is "one hundred twenty billion, two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 27211361 54422722 81634083 136056805 163268166 190479527 244902249 272113610 380959054 408170415 489804498 571438581 816340830 952397635 1142877162 1224511245 1333356689 1714315743 1904795270 2449022490 2666713378 2857192905 3428631486 4000070067 5714385810 6666783445 8000140134 8571578715 12000210201 13333566890 17143157430 20000350335 24000420402 40000700670 60001051005 120002102010