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10202001000 = 2335333710091
BaseRepresentation
bin10011000000001011…
…00010111001101000
3222022222212100101220
421200011202321220
5131343203013000
64404200142040
7510546402102
oct114005427150
928288770356
1010202001000
114365844394
121b88767920
13c677c54a9
146cad06572
153ea9b01a0
hex260162e68

10202001000 has 128 divisors (see below), whose sum is σ = 31927858560. Its totient is φ = 2712192000.

The previous prime is 10202000993. The next prime is 10202001041. The reversal of 10202001000 is 10020201.

Adding to 10202001000 its reverse (10020201), we get a palindrome (10212021201).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10202001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005955 + ... + 1016045.

It is an arithmetic number, because the mean of its divisors is an integer number (249436395).

Almost surely, 210202001000 is an apocalyptic number.

10202001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963929280).

10202001000 is an abundant number, since it is smaller than the sum of its proper divisors (21725857560).

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

10202001000 is a wasteful number, since it uses less digits than its factorization.

10202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The spelling of 10202001000 in words is "ten billion, two hundred two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 337 375 500 600 674 750 1000 1011 1348 1500 1685 2022 2696 3000 3370 4044 5055 6740 8088 8425 10091 10110 13480 16850 20182 20220 25275 30273 33700 40364 40440 42125 50455 50550 60546 67400 80728 84250 100910 101100 121092 126375 151365 168500 201820 202200 242184 252275 252750 302730 337000 403640 504550 505500 605460 756825 1009100 1011000 1210920 1261375 1513650 2018200 2522750 3027300 3400667 3784125 5045500 6054600 6801334 7568250 10091000 10202001 13602668 15136500 17003335 20404002 27205336 30273000 34006670 40808004 51010005 68013340 81616008 85016675 102020010 136026680 170033350 204040020 255050025 340066700 408080040 425083375 510100050 680133400 850166750 1020200100 1275250125 1700333500 2040400200 2550500250 3400667000 5101000500 10202001000