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10012000222100 = 22523183251155027
BaseRepresentation
bin1001000110110001100110…
…1101110111101110010100
31022110010201111202200211202
42101230121231313232110
52303014034024101400
633143241023252032
72052225461504462
oct221543155675624
938403644680752
1010012000222100
11321007a127548
12115848674a018
1357818736a166
14268824ba7832
1512567d7094d5
hex91b19b77b94

10012000222100 has 144 divisors (see below), whose sum is σ = 22787657496576. Its totient is φ = 3813639600000.

The previous prime is 10012000222099. The next prime is 10012000222199. The reversal of 10012000222100 is 122200021001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64504787 + ... + 64659813.

It is an arithmetic number, because the mean of its divisors is an integer number (158247621504).

Almost surely, 210012000222100 is an apocalyptic number.

10012000222100 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 10012000222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393828748288).

10012000222100 is an abundant number, since it is smaller than the sum of its proper divisors (12775657274476).

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

10012000222100 is a wasteful number, since it uses less digits than its factorization.

10012000222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155406 (or 155399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10012000222100 its reverse (122200021001), we get a palindrome (10134200243101).

The spelling of 10012000222100 in words is "ten trillion, twelve billion, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 83 100 124 155 166 251 310 332 415 502 620 775 830 1004 1255 1550 1660 2075 2510 2573 3100 4150 5020 5146 6275 7781 8300 10292 12550 12865 15562 20833 25100 25730 31124 38905 41666 51460 64325 77810 83332 104165 128650 155027 155620 194525 208330 257300 310054 389050 416660 520825 620108 645823 775135 778100 1041650 1291646 1550270 2083300 2583292 3100540 3229115 3875675 4805837 6458230 7751350 9611674 12867241 12916460 15502700 16145575 19223348 24029185 25734482 32291150 38911777 48058370 51468964 64336205 64582300 77823554 96116740 120145925 128672410 155647108 194558885 240291850 257344820 321681025 389117770 398884471 480583700 643362050 778235540 797768942 972794425 1206265087 1286724100 1595537884 1945588850 1994422355 2412530174 3229677491 3891177700 3988844710 4825060348 6031325435 6459354982 7977689420 9972111775 12062650870 12918709964 16148387455 19944223550 24125301740 30156627175 32296774910 39888447100 60313254350 64593549820 80741937275 100120002221 120626508700 161483874550 200240004442 322967749100 400480008884 500600011105 1001200022210 2002400044420 2503000055525 5006000111050 10012000222100