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10300021002 = 23229313717203
BaseRepresentation
bin10011001011110110…
…11101100100001010
3222120211022021120100
421211323131210022
5132043301133002
64422021110230
7513146506515
oct114573354412
928524267510
1010300021002
114406103257
121bb5558376
13c81bc49ab
146d9d3dd7c
154043c311c
hex265edd90a

10300021002 has 96 divisors (see below), whose sum is σ = 24476474880. Its totient is φ = 3121130880.

The previous prime is 10300020989. The next prime is 10300021003. The reversal of 10300021002 is 20012000301.

It is a happy number.

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 (10300021003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590133 + ... + 607335.

It is an arithmetic number, because the mean of its divisors is an integer number (254963280).

Almost surely, 210300021002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238237440).

10300021002 is an abundant number, since it is smaller than the sum of its proper divisors (14176453878).

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

10300021002 is a wasteful number, since it uses less digits than its factorization.

10300021002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17308 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10300021002 its reverse (20012000301), we get a palindrome (30312021303).

The spelling of 10300021002 in words is "ten billion, three hundred million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 29 31 37 58 62 74 87 93 111 174 186 222 261 279 333 522 558 666 899 1073 1147 1798 2146 2294 2697 3219 3441 5394 6438 6882 8091 9657 10323 16182 17203 19314 20646 33263 34406 51609 66526 99789 103218 154827 199578 299367 309654 498887 533293 598734 636511 997774 1066586 1273022 1496661 1599879 1909533 2993322 3199758 3819066 4489983 4799637 5728599 8979966 9599274 11457198 15465497 18458819 19731841 30930994 36917638 39463682 46396491 55376457 59195523 92792982 110752914 118391046 139189473 166129371 177586569 278378946 332258742 355173138 572223389 1144446778 1716670167 3433340334 5150010501 10300021002