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10021311330 = 2354771100103
BaseRepresentation
bin10010101010101000…
…10001001101100010
3221212101212100202220
421111110101031202
5131010423430310
64334223251510
7503223512052
oct112524211542
927771770686
1010021311330
114282850588
121b38149b96
13c3923c724
146b0d0d562
153d9bbc670
hex255511362

10021311330 has 64 divisors (see below), whose sum is σ = 24909078528. Its totient is φ = 2578627520.

The previous prime is 10021311281. The next prime is 10021311343. The reversal of 10021311330 is 3311312001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50059 + ... + 150161.

It is an arithmetic number, because the mean of its divisors is an integer number (389204352).

Almost surely, 210021311330 is an apocalyptic number.

10021311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454539264).

10021311330 is an abundant number, since it is smaller than the sum of its proper divisors (14887767198).

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

10021311330 is a wasteful number, since it uses less digits than its factorization.

10021311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100231.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10021311330 its reverse (3311312001), we get a palindrome (13332623331).

The spelling of 10021311330 in words is "ten billion, twenty-one million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 710 1065 1410 2130 3337 6674 10011 16685 20022 33370 50055 100103 100110 200206 300309 500515 600618 1001030 1501545 3003090 4704841 7107313 9409682 14114523 14214626 21321939 23524205 28229046 35536565 42643878 47048410 70572615 71073130 106609695 141145230 213219390 334043711 668087422 1002131133 1670218555 2004262266 3340437110 5010655665 10021311330