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10214101220 = 2254112456221
BaseRepresentation
bin10011000001100111…
…01101000011100100
3222100211122002210012
421200303231003210
5131404302214340
64405311345352
7511054266521
oct114063550344
928324562705
1010214101220
114371659474
121b90822258
13c6a170c9b
146cc776148
153ebaa0565
hex260ced0e4

10214101220 has 24 divisors (see below), whose sum is σ = 21972775608. Its totient is φ = 3985990400.

The previous prime is 10214101217. The next prime is 10214101237. The reversal of 10214101220 is 2210141201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 689902756 + 9524198464 = 26266^2 + 97592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10214101195 and 10214101204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6227291 + ... + 6228930.

It is an arithmetic number, because the mean of its divisors is an integer number (915532317).

Almost surely, 210214101220 is an apocalyptic number.

10214101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214101220 is an abundant number, since it is smaller than the sum of its proper divisors (11758674388).

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

10214101220 is a wasteful number, since it uses less digits than its factorization.

10214101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456271 (or 12456269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10214101220 its reverse (2210141201), we get a palindrome (12424242421).

The spelling of 10214101220 in words is "ten billion, two hundred fourteen million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 12456221 24912442 49824884 62281105 124562210 249124420 510705061 1021410122 2042820244 2553525305 5107050610 10214101220