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100112212222100 = 22521377009394017
BaseRepresentation
bin10110110000110100110000…
…110110001110000010010100
3111010110122010012102000212122
4112300310300312032002110
5101110214302312101400
6552530525420035112
730041603642244641
oct2660646066160224
9433418105360778
10100112212222100
1129998394974511
12b28a501392a98
1343b2705a635c0
141aa1657b34dc8
15b89235bea685
hex5b0d30d8e094

100112212222100 has 36 divisors (see below), whose sum is σ = 233954539026684. Its totient is φ = 36964509127680.

The previous prime is 100112212222093. The next prime is 100112212222123. The reversal of 100112212222100 is 1222212211001.

It can be written as a sum of positive squares in 6 ways, for example, as 7063539383824 + 93048672838276 = 2657732^2 + 9646174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38504695709 + ... + 38504698308.

Almost surely, 2100112212222100 is an apocalyptic number.

100112212222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112212222100 is an abundant number, since it is smaller than the sum of its proper divisors (133842326804584).

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

100112212222100 is a wasteful number, since it uses less digits than its factorization.

100112212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77009394044 (or 77009394037 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100112212222100 its reverse (1222212211001), we get a palindrome (101334424433101).

The spelling of 100112212222100 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 77009394017 154018788034 308037576068 385046970085 770093940170 1001122122221 1540187880340 1925234850425 2002244244442 3850469700850 4004488488884 5005610611105 7700939401700 10011221222210 20022442444420 25028053055525 50056106111050 100112212222100