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122103102001000 = 2353122103102001
BaseRepresentation
bin11011110000110101011000…
…000001010100111101101000
3121000022221110010020012120011
4123300311120001110331220
5112001014123103013000
61111405220215341304
734501441460221351
oct3360653001247550
9530287403205504
10122103102001000
11359a66a894938a
1211840495981834
135319372049513
142221b70938d28
15e1b2add5e2ba
hex6f0d58054f68

122103102001000 has 32 divisors (see below), whose sum is σ = 285721258684680. Its totient is φ = 48841240800000.

The previous prime is 122103102000961. The next prime is 122103102001033. The reversal of 122103102001000 is 100201301221.

It can be written as a sum of positive squares in 4 ways, for example, as 76590187502724 + 45512914498276 = 8751582^2 + 6746326^2 .

It is a super-2 number, since 2×1221031020010002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61051550001 + ... + 61051552000.

Almost surely, 2122103102001000 is an apocalyptic number.

122103102001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103102001000 is an abundant number, since it is smaller than the sum of its proper divisors (163618156683680).

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

122103102001000 is a wasteful number, since it uses less digits than its factorization.

122103102001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122103102022 (or 122103102008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122103102001000 its reverse (100201301221), we get a palindrome (122203303302221).

The spelling of 122103102001000 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122103102001 244206204002 488412408004 610515510005 976824816008 1221031020010 2442062040020 3052577550025 4884124080040 6105155100050 12210310200100 15262887750125 24420620400200 30525775500250 61051551000500 122103102001000