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21930500010 = 2355925149363
BaseRepresentation
bin10100011011001010…
…001101111110101010
32002121101002211102010
4110123022031332222
5324403202000020
614024050420350
71404313113546
oct243312157652
962541084363
1021930500010
119334217281
1243005916b6
1320b6629c33
1410c084ca26
158854a0de0
hex51b28dfaa

21930500010 has 64 divisors (see below), whose sum is σ = 53739624960. Its totient is φ = 5725992000.

The previous prime is 21930499991. The next prime is 21930500027. The reversal of 21930500010 is 1000503912.

It is a super-2 number, since 2×219305000102 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21930500010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419589 + ... + 468951.

It is an arithmetic number, because the mean of its divisors is an integer number (839681640).

Almost surely, 221930500010 is an apocalyptic number.

It is a pronic number, being equal to 148089×148090.

It is a practical number, because each smaller number is the sum of distinct divisors of 21930500010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869812480).

21930500010 is an abundant number, since it is smaller than the sum of its proper divisors (31809124950).

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

21930500010 is a wasteful number, since it uses less digits than its factorization.

21930500010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49683.

The product of its (nonzero) digits is 270, while the sum is 21.

The spelling of 21930500010 in words is "twenty-one billion, nine hundred thirty million, five hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 251 295 354 502 590 753 885 1255 1506 1770 2510 3765 7530 14809 29618 44427 49363 74045 88854 98726 148089 148090 222135 246815 296178 444270 493630 740445 1480890 2912417 5824834 8737251 12390113 14562085 17474502 24780226 29124170 37170339 43686255 61950565 74340678 87372510 123901130 185851695 371703390 731016667 1462033334 2193050001 3655083335 4386100002 7310166670 10965250005 21930500010