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100220111122112 = 26236772148549
BaseRepresentation
bin10110110010011001010000…
…000111110110111011000000
3111010211221121212020001220122
4112302121100013312323000
5101114001241421401422
6553052252231555412
730052443531620312
oct2662312007667300
9433757555201818
10100220111122112
1129a2a123aa5053
12b2a73b452bb68
1343bc93cb78a77
141aa6971c637b2
15b8be4d60ed42
hex5b26501f6ec0

100220111122112 has 84 divisors (see below), whose sum is σ = 207829373062800. Its totient is φ = 47860235664384.

The previous prime is 100220111122051. The next prime is 100220111122139. The reversal of 100220111122112 is 211221111022001.

It is a super-3 number, since 3×1002201111221123 (a number of 43 digits) contains 333 as substring.

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, 674586014 + ... + 674734562.

Almost surely, 2100220111122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220111122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103914686531400).

100220111122112 is an abundant number, since it is smaller than the sum of its proper divisors (107609261940688).

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

100220111122112 is an frugal number, since it uses more digits than its factorization.

100220111122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149938 (or 149251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100220111122112 its reverse (211221111022001), we get a palindrome (311441222144113).

The spelling of 100220111122112 in words is "one hundred trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 677 736 1354 1472 2708 5416 10832 15571 21664 31142 43328 62284 124568 148549 249136 297098 458329 498272 594196 916658 996544 1188392 1833316 2376784 3416627 3666632 4753568 6833254 7333264 9507136 10541567 13666508 14666528 21083134 27333016 29333056 42166268 54666032 84332536 100567673 109332064 168665072 201135346 218664128 337330144 402270692 674660288 804541384 1609082768 2313056479 3218165536 4626112958 6436331072 9252225916 18504451832 37008903664 68084314621 74017807328 136168629242 148035614656 272337258484 544674516968 1089349033936 1565939236283 2178698067872 3131878472566 4357396135744 6263756945132 12527513890264 25055027780528 50110055561056 100220111122112