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10212211020 = 22351167230941
BaseRepresentation
bin10011000001011000…
…11111100101001100
3222100201002001220210
421200230133211030
5131403311223040
64405203042420
7511032234654
oct114054374514
928321061823
1010212211020
114370588320
121b90070410
13c6995b81b
146cc403364
153eb82a480
hex260b1f94c

10212211020 has 96 divisors (see below), whose sum is σ = 31659376896. Its totient is φ = 2438726400.

The previous prime is 10212211019. The next prime is 10212211027. The reversal of 10212211020 is 2011221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10212210987 and 10212211005.

It is not an unprimeable number, because it can be changed into a prime (10212211027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71251 + ... + 159690.

It is an arithmetic number, because the mean of its divisors is an integer number (329785176).

Almost surely, 210212211020 is an apocalyptic number.

10212211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212211020 is an abundant number, since it is smaller than the sum of its proper divisors (21447165876).

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

10212211020 is a wasteful number, since it uses less digits than its factorization.

10212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231031 (or 231029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212211020 its reverse (2011221201), we get a palindrome (12223432221).

The spelling of 10212211020 in words is "ten billion, two hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 11055 14740 22110 44220 230941 461882 692823 923764 1154705 1385646 2309410 2540351 2771292 3464115 4618820 5080702 6928230 7621053 10161404 12701755 13856460 15242106 15473047 25403510 30484212 30946094 38105265 46419141 50807020 61892188 76210530 77365235 92838282 152421060 154730470 170203517 185676564 232095705 309460940 340407034 464191410 510610551 680814068 851017585 928382820 1021221102 1702035170 2042442204 2553052755 3404070340 5106105510 10212211020