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145002102520 = 235112314328271
BaseRepresentation
bin1000011100001011001…
…1000111111011111000
3111212021110001000102111
42013002303013323320
54333431014240040
6150340230142104
713322200351402
oct2070263077370
9455243030374
10145002102520
11565499a7870
1224128ab1934
131089aca8882
147037ab9b72
153b89e40dea
hex21c2cc7ef8

145002102520 has 64 divisors (see below), whose sum is σ = 371388810240. Its totient is φ = 50435510400.

The previous prime is 145002102473. The next prime is 145002102577. The reversal of 145002102520 is 25201200541.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 145002102491 and 145002102500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7154016 + ... + 7174255.

It is an arithmetic number, because the mean of its divisors is an integer number (5802950160).

Almost surely, 2145002102520 is an apocalyptic number.

145002102520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145002102520 is an abundant number, since it is smaller than the sum of its proper divisors (226386707720).

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

145002102520 is a wasteful number, since it uses less digits than its factorization.

145002102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328316 (or 14328312 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 145002102520 in words is "one hundred forty-five billion, two million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 14328271 28656542 57313084 71641355 114626168 143282710 157610981 286565420 315221962 329550233 573130840 630443924 659100466 788054905 1260887848 1318200932 1576109810 1647751165 2636401864 3152219620 3295502330 3625052563 6304439240 6591004660 7250105126 13182009320 14500210252 18125262815 29000420504 36250525630 72501051260 145002102520