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10122213210 = 2353722694019
BaseRepresentation
bin10010110110101010…
…01011011101011010
3222010102201201010120
421123111023131122
5131212241310320
64352230054110
7505560251454
oct113325133532
928112651116
1010122213210
1143247a866a
121b65aaa336
13c5410a895
146c04972d4
153e399e440
hex25b54b75a

10122213210 has 64 divisors (see below), whose sum is σ = 24967094400. Its totient is φ = 2624493312.

The previous prime is 10122213187. The next prime is 10122213239. The reversal of 10122213210 is 1231222101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122213210.

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, 2516581 + ... + 2520599.

It is an arithmetic number, because the mean of its divisors is an integer number (390110850).

Almost surely, 210122213210 is an apocalyptic number.

10122213210 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 10122213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483547200).

10122213210 is an abundant number, since it is smaller than the sum of its proper divisors (14844881190).

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

10122213210 is a wasteful number, since it uses less digits than its factorization.

10122213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10122213210 its reverse (1231222101), we get a palindrome (11353435311).

The spelling of 10122213210 in words is "ten billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2269 4019 4538 6807 8038 11345 12057 13614 20095 22690 24114 34035 40190 60285 68070 83953 120570 148703 167906 251859 297406 419765 446109 503718 743515 839530 892218 1259295 1487030 2230545 2518590 4461090 9119111 18238222 27357333 45595555 54714666 91191110 136786665 273573330 337407107 674814214 1012221321 1687035535 2024442642 3374071070 5061106605 10122213210