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100111221002020 = 225173475991416601
BaseRepresentation
bin10110110000110011110101…
…110001000000111100100100
3111010110112120010020211112211
4112300303311301000330210
5101110210240034031040
6552530243210453204
730041540245102324
oct2660636561007444
9433415503224484
10100111221002020
1129997a263a8168
12b28a285434204
1343b25a85ab847
141aa15a2231284
15b891c8ba08ea
hex5b0cf5c40f24

100111221002020 has 96 divisors (see below), whose sum is σ = 223614592185600. Its totient is φ = 37517551718400.

The previous prime is 100111221002017. The next prime is 100111221002033. The reversal of 100111221002020 is 20200122111001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69961720 + ... + 71378320.

It is an arithmetic number, because the mean of its divisors is an integer number (2329318668600).

Almost surely, 2100111221002020 is an apocalyptic number.

100111221002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111221002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111807296092800).

100111221002020 is an abundant number, since it is smaller than the sum of its proper divisors (123503371183580).

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

100111221002020 is a wasteful number, since it uses less digits than its factorization.

100111221002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417573 (or 1417571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100111221002020 its reverse (20200122111001), we get a palindrome (120311343113021).

The spelling of 100111221002020 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 347 599 694 1198 1388 1735 2396 2995 3470 5899 5990 6940 10183 11798 11980 20366 23596 29495 40732 50915 58990 101830 117980 203660 207853 415706 831412 1039265 1416601 2078530 2833202 3533501 4157060 5666404 7067002 7083005 14134004 14166010 17667505 24082217 28332020 35335010 48164434 70670020 96328868 120411085 240822170 481644340 491560547 848543999 983121094 1697087998 1966242188 2457802735 3394175996 4242719995 4915605470 8356529299 8485439990 9831210940 14425247983 16713058598 16970879980 28850495966 33426117196 41782646495 57700991932 72126239915 83565292990 144252479830 167130585980 288504959660 294444767653 588889535306 1177779070612 1472223838265 2944447676530 5005561050101 5888895353060 10011122100202 20022244200404 25027805250505 50055610501010 100111221002020