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10121353002 = 2331757119309
BaseRepresentation
bin10010110110100011…
…11001011100101010
3222010101010000011000
421123101321130222
5131212031244002
64352155415430
7505550036535
oct113321713452
928111100130
1010121353002
114324270352
121b65754576
13c53b99197
146c0311a1c
153e387e61c
hex25b47972a

10121353002 has 64 divisors (see below), whose sum is σ = 23857891200. Its totient is φ = 3169601280.

The previous prime is 10121353001. The next prime is 10121353003. The reversal of 10121353002 is 20035312101.

10121353002 is a `hidden beast` number, since 10 + 121 + 3 + 530 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10121353001) and next prime (10121353003).

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 (10121353001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514524 + ... + 533832.

It is an arithmetic number, because the mean of its divisors is an integer number (372779550).

Almost surely, 210121353002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121353002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928945600).

10121353002 is an abundant number, since it is smaller than the sum of its proper divisors (13736538198).

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

10121353002 is a wasteful number, since it uses less digits than its factorization.

10121353002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19902 counting only the distinct ones).

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

Adding to 10121353002 its reverse (20035312101), we get a palindrome (30156665103).

The spelling of 10121353002 in words is "ten billion, one hundred twenty-one million, three hundred fifty-three thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 571 918 1142 1713 3426 5139 9707 10278 15417 19309 19414 29121 30834 38618 57927 58242 87363 115854 173781 174726 262089 328253 347562 521343 524178 656506 984759 1042686 1969518 2954277 5908554 8862831 11025439 17725662 22050878 33076317 66152634 99228951 187432463 198457902 297686853 374864926 562297389 595373706 1124594778 1686892167 3373784334 5060676501 10121353002