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10012000220 = 2251979359929
BaseRepresentation
bin10010101001100001…
…01111111111011100
3221211202100022022222
421110300233333130
5131001033001340
64333251524512
7503051412005
oct112460577734
927752308288
1010012000220
114278570a52
121b34bb9738
13c3732c5b1
146ad9a81ac
153d8e7d8b5
hex254c2ffdc

10012000220 has 96 divisors (see below), whose sum is σ = 22498560000. Its totient is φ = 3731539968.

The previous prime is 10012000189. The next prime is 10012000253. The reversal of 10012000220 is 2200021001.

It is a junction number, because it is equal to n+sod(n) for n = 10012000198 and 10012000207.

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, 10776716 + ... + 10777644.

It is an arithmetic number, because the mean of its divisors is an integer number (234360000).

Almost surely, 210012000220 is an apocalyptic number.

10012000220 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 10012000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280000).

10012000220 is an abundant number, since it is smaller than the sum of its proper divisors (12486559780).

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

10012000220 is a wasteful number, since it uses less digits than its factorization.

10012000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

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

Adding to 10012000220 its reverse (2200021001), we get a palindrome (12212021221).

The spelling of 10012000220 in words is "ten billion, twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 359 380 395 718 790 929 1436 1501 1580 1795 1858 3002 3590 3716 4645 6004 6821 7180 7505 9290 13642 15010 17651 18580 27284 28361 30020 34105 35302 56722 68210 70604 73391 88255 113444 136420 141805 146782 176510 283610 293564 333511 353020 366955 538859 567220 667022 733910 1077718 1334044 1394429 1467820 1667555 2155436 2694295 2788858 3335110 5388590 5577716 6336709 6670220 6972145 10777180 12673418 13944290 25346836 26347369 27888580 31683545 52694738 63367090 105389476 126734180 131736845 263473690 500600011 526947380 1001200022 2002400044 2503000055 5006000110 10012000220