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100110211099980 = 223512722075952797
BaseRepresentation
bin10110110000110010111001…
…100100100010110101001100
3111010110102221201221111101120
4112300302321210202311030
5101110201203020144410
6552525555053040540
730041503233060444
oct2660627144426514
9433412851844346
10100110211099980
1129997558330884
12b28a043186150
1343b24772b5583
141aa1508067124
15b8916a1b5570
hex5b0cb9922d4c

100110211099980 has 96 divisors (see below), whose sum is σ = 282643801767936. Its totient is φ = 26473845839616.

The previous prime is 100110211099967. The next prime is 100110211100047. The reversal of 100110211099980 is 89990112011001.

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, 13840942 + ... + 19793738.

It is an arithmetic number, because the mean of its divisors is an integer number (2944206268416).

Almost surely, 2100110211099980 is an apocalyptic number.

100110211099980 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 100110211099980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141321900883968).

100110211099980 is an abundant number, since it is smaller than the sum of its proper divisors (182533590667956).

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

100110211099980 is a wasteful number, since it uses less digits than its factorization.

100110211099980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955143 (or 5955141 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 42.

The spelling of 100110211099980 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2207 2540 3810 4414 6621 7620 8828 11035 13242 22070 26484 33105 44140 66210 132420 280289 560578 840867 1121156 1401445 1681734 2802890 3363468 4204335 5605780 5952797 8408670 11905594 16817340 17858391 23811188 29763985 35716782 59527970 71433564 89291955 119055940 178583910 357167820 756005219 1512010438 2268015657 3024020876 3780026095 4536031314 7560052190 9072062628 11340078285 13137822979 15120104380 22680156570 26275645958 39413468937 45360313140 52551291916 65689114895 78826937874 131378229790 157653875748 197067344685 262756459580 394134689370 788269378740 1668503518333 3337007036666 5005510554999 6674014073332 8342517591665 10011021109998 16685035183330 20022042219996 25027552774995 33370070366660 50055105549990 100110211099980