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100201011022210 = 2573131223000937
BaseRepresentation
bin10110110010000111011101…
…101010110000100110000010
3111010210010022202000110112011
4112302013131222300212002
5101113143132310202320
6553035413050323134
730051166314505000
oct2662073552604602
9433703282013464
10100201011022210
1129a2201253a31a
12b2a3763a294aa
1343babb7a611c7
141aa5a7d2ada70
15b8b6d18a105a
hex5b21ddab0982

100201011022210 has 64 divisors (see below), whose sum is σ = 211940091475200. Its totient is φ = 34092383095680.

The previous prime is 100201011022159. The next prime is 100201011022219. The reversal of 100201011022210 is 12220110102001.

It is a super-2 number, since 2×1002010110222102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201011022219) 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, 111051139 + ... + 111949798.

It is an arithmetic number, because the mean of its divisors is an integer number (3311563929300).

Almost surely, 2100201011022210 is an apocalyptic number.

100201011022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201011022210 is an abundant number, since it is smaller than the sum of its proper divisors (111739080452990).

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

100201011022210 is a wasteful number, since it uses less digits than its factorization.

100201011022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223001096 (or 223001082 counting only the distinct ones).

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

Adding to 100201011022210 its reverse (12220110102001), we get a palindrome (112421121124211).

The spelling of 100201011022210 in words is "one hundred trillion, two hundred one billion, eleven million, twenty-two thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 131 245 262 343 490 655 686 917 1310 1715 1834 3430 4585 6419 9170 12838 32095 44933 64190 89866 224665 449330 223000937 446001874 1115004685 1561006559 2230009370 3122013118 7805032795 10927045913 15610065590 21854091826 29213122747 54635229565 58426245494 76489321391 109270459130 146065613735 152978642782 204491859229 292131227470 382446606955 408983718458 764893213910 1022459296145 1431443014603 2044918592290 2862886029206 7157215073015 10020101102221 14314430146030 20040202204442 50100505511105 100201011022210