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100202211100020 = 22356672732502779
BaseRepresentation
bin10110110010001000100101…
…001100101100010101110100
3111010210020102101011201210110
4112302020211030230111310
5101113203112020200040
6553040132120223020
730051241126136061
oct2662104514542564
9433706371151713
10100202211100020
1129a22578999567
12b2a3a3990aa70
1343bb049581c13
141aa5b5481dc68
15b8b751e04980
hex5b222532c574

100202211100020 has 48 divisors (see below), whose sum is σ = 280566723648960. Its totient is φ = 26720538905856.

The previous prime is 100202211099989. The next prime is 100202211100049. The reversal of 100202211100020 is 20001112202001.

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 = 100202211099969 and 100202211100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38784991 + ... + 41287769.

It is an arithmetic number, because the mean of its divisors is an integer number (5845140076020).

Almost surely, 2100202211100020 is an apocalyptic number.

100202211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202211100020 is an abundant number, since it is smaller than the sum of its proper divisors (180364512548940).

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

100202211100020 is a wasteful number, since it uses less digits than its factorization.

100202211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170064 (or 3170062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100202211100020 its reverse (20001112202001), we get a palindrome (120203323302021).

The spelling of 100202211100020 in words is "one hundred trillion, two hundred two billion, two hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 667273 1334546 2001819 2502779 2669092 3336365 4003638 5005558 6672730 7508337 8007276 10009095 10011116 12513895 13345460 15016674 20018190 25027790 30033348 37541685 40036380 50055580 75083370 150166740 1670036851667 3340073703334 5010110555001 6680147406668 8350184258335 10020221110002 16700368516670 20040442220004 25050552775005 33400737033340 50101105550010 100202211100020