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10102220200020 = 22351317761856727
BaseRepresentation
bin1001001100000001101100…
…1111110001100001010100
31022202202121002120102221110
42103000123033301201110
52311003321332400040
633252521302415020
72061601301613204
oct223003317614124
938682532512843
1010102220200020
113245366a36273
121171a65131470
1358383491ca90
1426cd42da8404
15127bae039980
hex9301b3f1854

10102220200020 has 96 divisors (see below), whose sum is σ = 32253966436608. Its totient is φ = 2340423862272.

The previous prime is 10102220200013. The next prime is 10102220200021. The reversal of 10102220200020 is 2000202220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102220199969 and 10102220200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102220200021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 380915104 + ... + 380941623.

It is an arithmetic number, because the mean of its divisors is an integer number (335978817048).

Almost surely, 210102220200020 is an apocalyptic number.

10102220200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102220200020 is an abundant number, since it is smaller than the sum of its proper divisors (22151746236588).

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

10102220200020 is a wasteful number, since it uses less digits than its factorization.

10102220200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761856769 (or 761856767 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10102220200020 its reverse (2000202220101), we get a palindrome (12102422420121).

The spelling of 10102220200020 in words is "ten trillion, one hundred two billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 761856727 1523713454 2285570181 3047426908 3809283635 4571140362 7618567270 9142280724 9904137451 11427850905 12951564359 15237134540 19808274902 22855701810 25903128718 29712412353 38854693077 39616549804 45711403620 49520687255 51806257436 59424824706 64757821795 77709386154 99041374510 118849649412 129515643590 148562061765 155418772308 168370336667 194273465385 198082749020 259031287180 297124123530 336740673334 388546930770 505111010001 594248247060 673481346668 777093861540 841851683335 1010222020002 1683703366670 2020444040004 2525555050005 3367406733340 5051110100010 10102220200020