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10210102002 = 234537871511
BaseRepresentation
bin10011000001001000…
…11100101011110010
3222100120002220220000
421200210130223302
5131402241231002
64405045530430
7511005302142
oct114044345362
928316086800
1010210102002
11436a377831
121b8b413a16
13c693a0899
146cc014922
153eb56061c
hex26091caf2

10210102002 has 80 divisors (see below), whose sum is σ = 23354920512. Its totient is φ = 3332702880.

The previous prime is 10210101989. The next prime is 10210102009. The reversal of 10210102002 is 20020101201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10210102009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6756427 + ... + 6757937.

Almost surely, 210210102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677460256).

10210102002 is an abundant number, since it is smaller than the sum of its proper divisors (13144818510).

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

10210102002 is a wasteful number, since it uses less digits than its factorization.

10210102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210102002 its reverse (20020101201), we get a palindrome (30230203203).

The spelling of 10210102002 in words is "ten billion, two hundred ten million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 787 954 1431 1511 1574 2361 2862 3022 4293 4533 4722 7083 8586 9066 13599 14166 21249 27198 40797 41711 42498 63747 80083 81594 83422 122391 125133 127494 160166 240249 244782 250266 375399 480498 720747 750798 1126197 1189157 1441494 2162241 2252394 2378314 3378591 3567471 4324482 6486723 6757182 7134942 10702413 12973446 21404826 32107239 63025321 64214478 96321717 126050642 189075963 192643434 378151926 567227889 1134455778 1701683667 3403367334 5105051001 10210102002