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20211301100100 = 223521118947323251
BaseRepresentation
bin1001001100001110011110…
…11011000010101001000100
32122120011220022202120002010
410212013033123002221010
510122120221040200400
6110552535450014220
74154134611522405
oct446071733025104
978504808676063
1020211301100100
116492623621a90
122325103a17370
13b37bc0a21c96
144dc3371cb9ac
15250b20524450
hex1261cf6c2a44

20211301100100 has 144 divisors (see below), whose sum is σ = 63797780180736. Its totient is φ = 4899435600000.

The previous prime is 20211301100077. The next prime is 20211301100167. The reversal of 20211301100100 is 100110311202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62363475 + ... + 62686725.

It is an arithmetic number, because the mean of its divisors is an integer number (443040140144).

Almost surely, 220211301100100 is an apocalyptic number.

20211301100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211301100100 is an abundant number, since it is smaller than the sum of its proper divisors (43586479080636).

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

20211301100100 is a wasteful number, since it uses less digits than its factorization.

20211301100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342226 (or 342219 counting only the distinct ones).

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

Adding to 20211301100100 its reverse (100110311202), we get a palindrome (20311411411302).

The spelling of 20211301100100 in words is "twenty trillion, two hundred eleven billion, three hundred one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 18947 37894 56841 75788 94735 113682 189470 208417 227364 284205 323251 378940 416834 473675 568410 625251 646502 833668 947350 969753 1042085 1136820 1250502 1293004 1421025 1616255 1894700 1939506 2084170 2501004 2842050 3126255 3232510 3555761 3879012 4168340 4848765 5210425 5684100 6252510 6465020 7111522 8081275 9697530 10420850 10667283 12505020 14223044 15631275 16162550 17778805 19395060 20841700 21334566 24243825 31262550 32325100 35557610 42669132 48487650 53336415 62525100 71115220 88894025 96975300 106672830 177788050 213345660 266682075 355576100 533364150 1066728300 6124636697 12249273394 18373910091 24498546788 30623183485 36747820182 61246366970 67371003667 73495640364 91869550455 122492733940 134742007334 153115917425 183739100910 202113011001 269484014668 306231834850 336855018335 367478201820 404226022002 459347752275 612463669700 673710036670 808452044004 918695504550 1010565055005 1347420073340 1684275091675 1837391009100 2021130110010 3368550183350 4042260220020 5052825275025 6737100366700 10105650550050 20211301100100