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120010101000 = 23353367109001
BaseRepresentation
bin110111111000100101…
…0001101000100001000
3102110202201011210110120
41233301022031010020
53431240041213000
6131044252543240
711445651012246
oct1576112150410
9373681153416
10120010101000
1146994634159
121b313181b20
13b417312baa
145b46815796
1531c5ced6a0
hex1bf128d108

120010101000 has 128 divisors (see below), whose sum is σ = 375455208960. Its totient is φ = 31915200000.

The previous prime is 120010100981. The next prime is 120010101007. The reversal of 120010101000 is 101010021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 120010101000.

It is not an unprimeable number, because it can be changed into a prime (120010101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046500 + ... + 1155500.

It is an arithmetic number, because the mean of its divisors is an integer number (2933243820).

Almost surely, 2120010101000 is an apocalyptic number.

120010101000 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 120010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187727604480).

120010101000 is an abundant number, since it is smaller than the sum of its proper divisors (255445107960).

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

120010101000 is a wasteful number, since it uses less digits than its factorization.

120010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109392 (or 109378 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 120010101000 its reverse (101010021), we get a palindrome (120111111021).

The spelling of 120010101000 in words is "one hundred twenty billion, ten million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 367 375 500 600 734 750 1000 1101 1468 1500 1835 2202 2936 3000 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 45875 55050 73400 91750 109001 110100 137625 183500 218002 220200 275250 327003 367000 436004 545005 550500 654006 872008 1090010 1101000 1308012 1635015 2180020 2616024 2725025 3270030 4360040 5450050 6540060 8175075 10900100 13080120 13625125 16350150 21800200 27250250 32700300 40003367 40875375 54500500 65400600 80006734 81750750 109001000 120010101 160013468 163501500 200016835 240020202 320026936 327003000 400033670 480040404 600050505 800067340 960080808 1000084175 1200101010 1600134680 2000168350 2400202020 3000252525 4000336700 4800404040 5000420875 6000505050 8000673400 10000841750 12001010100 15001262625 20001683500 24002020200 30002525250 40003367000 60005050500 120010101000