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20120010100120 = 2357371942085917
BaseRepresentation
bin1001001001100100011100…
…00011100000110110011000
32122020110021002122020220201
410210302032003200312120
510114121240041200440
6110443001031031544
74144423415031460
oct444621603406630
978213232566821
1020120010100120
1164579371a0567
12230b48680b5b4
13b2c4025c63b8
144d7b56a72ba0
1524d57ab8419a
hex124c8e0e0d98

20120010100120 has 64 divisors (see below), whose sum is σ = 53135470716480. Its totient is φ = 6711848925696.

The previous prime is 20120010100109. The next prime is 20120010100129. The reversal of 20120010100120 is 2100101002102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20120010100097 and 20120010100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120010100129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971032599 + ... + 971053318.

It is an arithmetic number, because the mean of its divisors is an integer number (830241729945).

Almost surely, 220120010100120 is an apocalyptic number.

20120010100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120010100120 is an abundant number, since it is smaller than the sum of its proper divisors (33015460616360).

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

20120010100120 is a wasteful number, since it uses less digits than its factorization.

20120010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942085972 (or 1942085968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20120010100120 its reverse (2100101002102), we get a palindrome (22220111102222).

The spelling of 20120010100120 in words is "twenty trillion, one hundred twenty billion, ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 1942085917 3884171834 7768343668 9710429585 13594601419 15536687336 19420859170 27189202838 38841718340 54378405676 67973007095 71857178929 77683436680 108756811352 135946014190 143714357858 271892028380 287428715716 359285894645 503000252503 543784056760 574857431432 718571789290 1006000505006 1437143578580 2012001010012 2515001262515 2874287157160 4024002020024 5030002525030 10060005050060 20120010100120