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10011212310 = 2351141218047
BaseRepresentation
bin10010101001011011…
…01111101000010110
3221211200212021112010
421110231233220112
5131000332243220
64333223005050
7503041620621
oct112455575026
927750767463
1010011212310
114278082a90
121b34899786
13c37114a88
146ad840db8
153d8d751e0
hex254b6fa16

10011212310 has 96 divisors (see below), whose sum is σ = 26867552256. Its totient is φ = 2367635200.

The previous prime is 10011212303. The next prime is 10011212333. The reversal of 10011212310 is 1321211001.

It is a super-2 number, since 2×100112123102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545707 + ... + 563753.

It is an arithmetic number, because the mean of its divisors is an integer number (279870336).

Almost surely, 210011212310 is an apocalyptic number.

10011212310 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 10011212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433776128).

10011212310 is an abundant number, since it is smaller than the sum of its proper divisors (16856339946).

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

10011212310 is a wasteful number, since it uses less digits than its factorization.

10011212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18150 (or 18109 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10011212310 its reverse (1321211001), we get a palindrome (11332423311).

The spelling of 10011212310 in words is "ten billion, eleven million, two hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 1681 2255 2706 3362 4510 5043 6765 8405 10086 13530 16810 18047 18491 25215 36094 36982 50430 54141 55473 90235 92455 108282 110946 180470 184910 198517 270705 277365 397034 541410 554730 595551 739927 992585 1191102 1479854 1985170 2219781 2977755 3699635 4439562 5955510 7399270 8139197 11098905 16278394 22197810 24417591 30337007 40695985 48835182 60674014 81391970 91011021 122087955 151685035 182022042 244175910 303370070 333707077 455055105 667414154 910110210 1001121231 1668535385 2002242462 3337070770 5005606155 10011212310