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102212021010 = 235111672238317
BaseRepresentation
bin101111100110001001…
…1111010101100010010
3100202211022221122121210
41133030103322230102
53133312234133020
6114542222200550
710245623562231
oct1371423725422
9322738848553
10102212021010
113a391026240
1217986723156
13983bb8c808
144d38b4ab18
1529d352d3e0
hex17cc4fab12

102212021010 has 128 divisors (see below), whose sum is σ = 270451851264. Its totient is φ = 24516898560.

The previous prime is 102212021003. The next prime is 102212021053. The reversal of 102212021010 is 10120212201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12285372 + ... + 12293688.

It is an arithmetic number, because the mean of its divisors is an integer number (2112905088).

Almost surely, 2102212021010 is an apocalyptic number.

102212021010 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 102212021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135225925632).

102212021010 is an abundant number, since it is smaller than the sum of its proper divisors (168239830254).

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

102212021010 is a wasteful number, since it uses less digits than its factorization.

102212021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728.

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

Adding to 102212021010 its reverse (10120212201), we get a palindrome (112332233211).

The spelling of 102212021010 in words is "one hundred two billion, two hundred twelve million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 167 223 330 334 446 501 669 835 1002 1115 1338 1670 1837 2230 2453 2505 3345 3674 4906 5010 5511 6690 7359 8317 9185 11022 12265 14718 16634 18370 24530 24951 27555 36795 37241 41585 49902 55110 73590 74482 83170 91487 111723 124755 182974 186205 223446 249510 274461 372410 409651 457435 548922 558615 819302 914870 1117230 1228953 1372305 1388939 1854691 2048255 2457906 2744610 2777878 3709382 4096510 4166817 5564073 6144765 6944695 8333634 9273455 11128146 12289530 13889390 15278329 18546910 20401601 20834085 27820365 30556658 40803202 41668170 45834987 55640730 61204803 76391645 91669974 102008005 122409606 152783290 204016010 229174935 306024015 309733397 458349870 612048030 619466794 929200191 1548666985 1858400382 3097333970 3407067367 4646000955 6814134734 9292001910 10221202101 17035336835 20442404202 34070673670 51106010505 102212021010