Search a number
-
+
10122102121220 = 2252997199904103
BaseRepresentation
bin1001001101001011110001…
…0011010010001100000100
31022211122220200220200112022
42103102330103102030010
52311320031120334340
633310010213142312
72063204061300065
oct223227423221404
938748820820468
1010122102121220
113252839845a01
12117589362a998
135856829c40ab
1426dcab71456c
1512847472e3b5
hex934bc4d2304

10122102121220 has 96 divisors (see below), whose sum is σ = 22327752384000. Its totient is φ = 3849478262784.

The previous prime is 10122102121213. The next prime is 10122102121273. The reversal of 10122102121220 is 2212120122101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10743689 + ... + 11647791.

It is an arithmetic number, because the mean of its divisors is an integer number (232580754000).

Almost surely, 210122102121220 is an apocalyptic number.

10122102121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122102121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163876192000).

10122102121220 is an abundant number, since it is smaller than the sum of its proper divisors (12205650262780).

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

10122102121220 is a wasteful number, since it uses less digits than its factorization.

10122102121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904437 (or 904435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10122102121220 its reverse (2212120122101), we get a palindrome (12334222243321).

The spelling of 10122102121220 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 97 116 145 194 199 290 388 398 485 580 796 970 995 1940 1990 2813 3980 5626 5771 11252 11542 14065 19303 23084 28130 28855 38606 56260 57710 77212 96515 115420 193030 386060 559787 904103 1119574 1808206 2239148 2798935 3616412 4520515 5597870 9041030 11195740 18082060 26218987 52437974 87697991 104875948 131094935 175395982 179916497 262189870 350791964 359832994 438489955 524379740 719665988 876979910 899582485 1753959820 1799164970 2543241739 3598329940 5086483478 5217578413 10172966956 10435156826 12716208695 17451900209 20870313652 25432417390 26087892065 34903800418 50864834780 52175784130 69807600836 87259501045 104351568260 174519002090 349038004180 506105106061 1012210212122 2024420424244 2530525530305 5061051060610 10122102121220