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10012020980 = 22513237123581
BaseRepresentation
bin10010101001100001…
…10101000011110100
3221211202101100210212
421110300311003310
5131001034132410
64333252204552
7503051526353
oct112460650364
927752340725
1010012020980
114278585605
121b35009758
13c37338b90
146ad9b199a
153d8e84b05
hex254c350f4

10012020980 has 96 divisors (see below), whose sum is σ = 23960821248. Its totient is φ = 3486067200.

The previous prime is 10012020979. The next prime is 10012021013. The reversal of 10012020980 is 8902021001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 412790 + ... + 436370.

It is an arithmetic number, because the mean of its divisors is an integer number (249591888).

Almost surely, 210012020980 is an apocalyptic number.

10012020980 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 10012020980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980410624).

10012020980 is an abundant number, since it is smaller than the sum of its proper divisors (13948800268).

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

10012020980 is a wasteful number, since it uses less digits than its factorization.

10012020980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23697 (or 23695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10012020980 its reverse (8902021001), we get a palindrome (18914041981).

The spelling of 10012020980 in words is "ten billion, twelve million, twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 71 92 115 130 142 230 260 284 299 355 460 598 710 923 1196 1420 1495 1633 1846 2990 3266 3692 4615 5980 6532 8165 9230 16330 18460 21229 23581 32660 42458 47162 84916 94324 106145 117905 212290 235810 306553 424580 471620 542363 613106 1084726 1226212 1532765 1674251 2169452 2711815 3065530 3348502 5423630 6131060 6697004 7050719 8371255 10847260 14101438 16742510 21765263 28202876 33485020 35253595 38507773 43530526 70507190 77015546 87061052 108826315 141014380 154031092 192538865 217652630 385077730 435305260 500601049 770155460 1001202098 2002404196 2503005245 5006010490 10012020980