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10100031200100 = 22325243126037719
BaseRepresentation
bin1001001011111001100011…
…0001011001101101100100
31022202112221112120201120100
42102332120301121231210
52310434330441400400
633251520144504100
72061463121460222
oct222763061315544
938675845521510
1010100031200100
11324444333a226
12117155401b030
1358357627025a
1426cbb6391b12
15127ad1c92100
hex92f98c59b64

10100031200100 has 108 divisors (see below), whose sum is σ = 31731440307840. Its totient is φ = 2687092497600.

The previous prime is 10100031200099. The next prime is 10100031200167. The reversal of 10100031200100 is 100213000101.

10100031200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12630960 + ... + 13406759.

It is an arithmetic number, because the mean of its divisors is an integer number (293809632480).

Almost surely, 210100031200100 is an apocalyptic number.

10100031200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100031200100 is an abundant number, since it is smaller than the sum of its proper divisors (21631409107740).

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

10100031200100 is a wasteful number, since it uses less digits than its factorization.

10100031200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26038170 (or 26038160 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100031200100 its reverse (100213000101), we get a palindrome (10200244200201).

The spelling of 10100031200100 in words is "ten trillion, one hundred billion, thirty-one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 431 450 862 900 1293 1724 2155 2586 3879 4310 5172 6465 7758 8620 10775 12930 15516 19395 21550 25860 32325 38790 43100 64650 77580 96975 129300 193950 387900 26037719 52075438 78113157 104150876 130188595 156226314 234339471 260377190 312452628 390565785 468678942 520754380 650942975 781131570 937357884 1171697355 1301885950 1562263140 1952828925 2343394710 2603771900 3905657850 4686789420 5858486775 7811315700 11222256889 11716973550 22444513778 23433947100 33666770667 44889027556 56111284445 67333541334 101000312001 112222568890 134667082668 168333853335 202000624002 224445137780 280556422225 336667706670 404001248004 505001560005 561112844450 673335413340 841669266675 1010003120010 1122225688900 1683338533350 2020006240020 2525007800025 3366677066700 5050015600050 10100031200100