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10212211212 = 2237433119091
BaseRepresentation
bin10011000001011000…
…11111101000001100
3222100201002002011220
421200230133220030
5131403311224322
64405203043340
7511032235350
oct114054375014
928321062156
1010212211212
114370588485
121b90070550
13c6995b938
146cc403460
153eb82a55c
hex260b1fa0c

10212211212 has 96 divisors (see below), whose sum is σ = 27958554624. Its totient is φ = 2840443200.

The previous prime is 10212211201. The next prime is 10212211223. The reversal of 10212211212 is 21211221201.

It is an interprime number because it is at equal distance from previous prime (10212211201) and next prime (10212211223).

It is a junction number, because it is equal to n+sod(n) for n = 10212211191 and 10212211200.

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, 1118787 + ... + 1127877.

It is an arithmetic number, because the mean of its divisors is an integer number (291234944).

Almost surely, 210212211212 is an apocalyptic number.

10212211212 is a gapful number since it is divisible by the number (12) 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 10212211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979277312).

10212211212 is an abundant number, since it is smaller than the sum of its proper divisors (17746343412).

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

10212211212 is a wasteful number, since it uses less digits than its factorization.

10212211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212211212 its reverse (21211221201), we get a palindrome (31423432413).

The spelling of 10212211212 in words is "ten billion, two hundred twelve million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 311 516 602 622 903 933 1204 1244 1806 1866 2177 3612 3732 4354 6531 8708 9091 13062 13373 18182 26124 26746 27273 36364 40119 53492 54546 63637 80238 93611 109092 127274 160476 187222 190911 254548 280833 374444 381822 390913 561666 763644 781826 1123332 1172739 1563652 2345478 2736391 2827301 4690956 5472782 5654602 8209173 8481903 10945564 11309204 16418346 16963806 19791107 32836692 33927612 39582214 59373321 79164428 118746642 121573943 237493284 243147886 364721829 486295772 729443658 851017601 1458887316 1702035202 2553052803 3404070404 5106105606 10212211212