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102011413342120 = 2354085362425901
BaseRepresentation
bin10111001100011101100010…
…000011100010011110101000
3111101012012021210101020021121
4113030131202003202132220
5101332323333303421440
61000543221335145024
730326036630354242
oct2714354203423650
9441165253336247
10102011413342120
112a55a885443907
12b5365b3b15174
1344bc834138099
141b2954340b092
15bbd83e78834a
hex5cc7620e27a8

102011413342120 has 32 divisors (see below), whose sum is σ = 229531302027720. Its totient is φ = 40803565868800.

The previous prime is 102011413342087. The next prime is 102011413342129. The reversal of 102011413342120 is 21243314110201.

It can be written as a sum of positive squares in 4 ways, for example, as 93900867540516 + 8110545801604 = 9690246^2 + 2847902^2 .

It is not an unprimeable number, because it can be changed into a prime (102011413342129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29578831 + ... + 32847070.

Almost surely, 2102011413342120 is an apocalyptic number.

102011413342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011413342120 is an abundant number, since it is smaller than the sum of its proper divisors (127519888685600).

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

102011413342120 is a wasteful number, since it uses less digits than its factorization.

102011413342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62466765 (or 62466761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 102011413342120 its reverse (21243314110201), we get a palindrome (123254727452321).

The spelling of 102011413342120 in words is "one hundred two trillion, eleven billion, four hundred thirteen million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 40853 81706 163412 204265 326824 408530 817060 1634120 62425901 124851802 249703604 312129505 499407208 624259010 1248518020 2497036040 2550285333553 5100570667106 10201141334212 12751426667765 20402282668424 25502853335530 51005706671060 102011413342120