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10021212210 = 2353141892953
BaseRepresentation
bin10010101010100111…
…11001000000110010
3221212101200022210210
421111103321000302
5131010412242320
64334221204550
7503222620062
oct112523710062
927771608723
1010021212210
114282793069
121b38100756
13c39206589
146b0cc53a2
153d9b9d0e0
hex2554f9032

10021212210 has 128 divisors (see below), whose sum is σ = 25726740480. Its totient is φ = 2493849600.

The previous prime is 10021212181. The next prime is 10021212211. The reversal of 10021212210 is 1221212001.

It is not an unprimeable number, because it can be changed into a prime (10021212211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3392094 + ... + 3395046.

It is an arithmetic number, because the mean of its divisors is an integer number (200990160).

Almost surely, 210021212210 is an apocalyptic number.

10021212210 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 10021212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863370240).

10021212210 is an abundant number, since it is smaller than the sum of its proper divisors (15705528270).

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

10021212210 is a wasteful number, since it uses less digits than its factorization.

10021212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124.

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

Adding to 10021212210 its reverse (1221212001), we get a palindrome (11242424211).

The spelling of 10021212210 in words is "ten billion, twenty-one million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 89 93 123 155 178 186 205 246 267 310 410 445 465 534 615 890 930 1230 1271 1335 2542 2670 2759 2953 3649 3813 5518 5906 6355 7298 7626 8277 8859 10947 12710 13795 14765 16554 17718 18245 19065 21894 27590 29530 36490 38130 41385 44295 54735 82770 88590 91543 109470 113119 121073 183086 226238 242146 262817 274629 339357 363219 457715 525634 549258 565595 605365 678714 726438 788451 915430 1131190 1210730 1314085 1373145 1576902 1696785 1816095 2628170 2746290 3393570 3632190 3753263 3942255 7506526 7884510 8147327 10775497 11259789 16294654 18766315 21550994 22519578 24441981 32326491 37532630 40736635 48883962 53877485 56298945 64652982 81473270 107754970 112597890 122209905 161632455 244419810 323264910 334040407 668080814 1002121221 1670202035 2004242442 3340404070 5010606105 10021212210