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10131011000200 = 2352373273149727
BaseRepresentation
bin1001001101101100111101…
…0011111101011110001000
31022212111220120112122000001
42103123033103331132020
52311441302304001300
633314042221252344
72063640616436146
oct223331723753610
938774816478001
1010131011000200
1132565a065a602
12117755b1040b4
1358647261c10c
142704b49aa596
151287e690c16a
hex936cf4fd788

10131011000200 has 96 divisors (see below), whose sum is σ = 23626872783360. Its totient is φ = 4039978924800.

The previous prime is 10131011000179. The next prime is 10131011000207. The reversal of 10131011000200 is 200011013101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10131011000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203707737 + ... + 203757463.

It is an arithmetic number, because the mean of its divisors is an integer number (246113258160).

Almost surely, 210131011000200 is an apocalyptic number.

10131011000200 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 10131011000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813436391680).

10131011000200 is an abundant number, since it is smaller than the sum of its proper divisors (13495861783160).

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

10131011000200 is a wasteful number, since it uses less digits than its factorization.

10131011000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52847 (or 52838 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10131011000200 its reverse (200011013101), we get a palindrome (10331022013301).

The spelling of 10131011000200 in words is "ten trillion, one hundred thirty-one billion, eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2731 2984 3730 5462 7460 9325 10924 13655 14920 18650 21848 27310 37300 49727 54620 68275 74600 99454 109240 136550 198908 248635 273100 397816 497270 546200 994540 1018663 1243175 1989080 2037326 2486350 4074652 4972700 5093315 8149304 9945400 10186630 18548171 20373260 25466575 37096342 40746520 50933150 74192684 92740855 101866300 135804437 148385368 185481710 203732600 271608874 370963420 463704275 543217748 679022185 741926840 927408550 1086435496 1358044370 1854817100 2716088740 3395110925 3709634200 5432177480 6790221850 13580443700 27160887400 50655055001 101310110002 202620220004 253275275005 405240440008 506550550010 1013101100020 1266376375025 2026202200040 2532752750050 5065505500100 10131011000200