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135610002 = 232115771187
BaseRepresentation
bin10000001010100…
…11111010010010
3100110011200221200
420011103322102
5234204010002
621242332030
73234444303
oct1005237222
9313150850
10135610002
116a603890
12394ba016
1322131108
14140207aa
15bd8ab1c
hex8153e92

135610002 has 48 divisors (see below), whose sum is σ = 321358752. Its totient is φ = 40988160.

The previous prime is 135609967. The next prime is 135610009. The reversal of 135610002 is 200016531.

It is a super-3 number, since 3×1356100023 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (135610009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113653 + ... + 114839.

It is an arithmetic number, because the mean of its divisors is an integer number (6694974).

Almost surely, 2135610002 is an apocalyptic number.

135610002 is an abundant number, since it is smaller than the sum of its proper divisors (185748750).

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

135610002 is a wasteful number, since it uses less digits than its factorization.

135610002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135610002 is about 11645.1707587308. The cubic root of 135610002 is about 513.7642814862.

Adding to 135610002 its reverse (200016531), we get a palindrome (335626533).

The spelling of 135610002 in words is "one hundred thirty-five million, six hundred ten thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 577 1154 1187 1731 2374 3462 3561 5193 6347 7122 10386 10683 12694 13057 19041 21366 26114 38082 39171 57123 78342 114246 117513 235026 684899 1369798 2054697 4109394 6164091 7533889 12328182 15067778 22601667 45203334 67805001 135610002