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100202012202020 = 225239172326174649
BaseRepresentation
bin10110110010001000011001…
…010101111101010000100100
3111010210012220111220200000212
4112302020121111331100210
5101113202210110431040
6553040100253154552
730051233162421401
oct2662103125752044
9433705814820025
10100202012202020
1129a22486699553
12b2a39a318ba58
1343bb0172c23b1
141aa5b362472a8
15b8b73e716d65
hex5b221957d424

100202012202020 has 96 divisors (see below), whose sum is σ = 211553584704000. Its totient is φ = 39866118211584.

The previous prime is 100202012201981. The next prime is 100202012202023. The reversal of 100202012202020 is 20202210202001.

It is a junction number, because it is equal to n+sod(n) for n = 100202012201986 and 100202012202004.

It is not an unprimeable number, because it can be changed into a prime (100202012202023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21553452656 + ... + 21553457304.

It is an arithmetic number, because the mean of its divisors is an integer number (2203683174000).

Almost surely, 2100202012202020 is an apocalyptic number.

100202012202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202012202020 is an abundant number, since it is smaller than the sum of its proper divisors (111351572501980).

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

100202012202020 is a wasteful number, since it uses less digits than its factorization.

100202012202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9235 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100202012202020 its reverse (20202210202001), we get a palindrome (120404222404021).

It can be divided in two parts, 10020201 and 2202020, that added together give a palindrome (12222221).

The spelling of 100202012202020 in words is "one hundred trillion, two hundred two billion, twelve million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 239 478 956 1195 1723 2390 2617 3446 4649 4780 5234 6892 8615 9298 10468 13085 17230 18596 23245 26170 34460 46490 52340 92980 411797 625463 823594 1111111 1250926 1647188 2058985 2222222 2501852 3127315 4117970 4444444 4509091 5555555 6254630 8010227 8235940 9018182 11111110 12166433 12509260 16020454 18036364 22222220 22545455 24332866 32040908 40051135 45090910 48665732 60832165 80102270 90181820 121664330 160204540 243328660 1077672749 1914444253 2155345498 2907777487 3828888506 4310690996 5388363745 5815554974 7657777012 9572221265 10776727490 11631109948 14538887435 19144442530 20962764059 21553454980 29077774870 38288885060 41925528118 58155549740 83851056236 104813820295 209627640590 419255281180 5010100610101 10020201220202 20040402440404 25050503050505 50101006101010 100202012202020