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122102313023301 = 31322437283334883
BaseRepresentation
bin11011110000110100101000…
…111111100111011101000101
3121000022212102010121222121220
4123300310220333213131011
5112001011014113221201
61111405010033030553
734501413100063002
oct3360645077473505
9530285363558556
10122102313023301
11359a63335567a6
12118402b56b5459
135319277755600
142221ad7c3c8a9
15e1b264963036
hex6f0d28fe7745

122102313023301 has 48 divisors (see below), whose sum is σ = 176429379237696. Its totient is φ = 75080387386368.

The previous prime is 122102313023281. The next prime is 122102313023351. The reversal of 122102313023301 is 103320313201221.

It is not a de Polignac number, because 122102313023301 - 215 = 122102312990533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102313023351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3500321206 + ... + 3500356088.

It is an arithmetic number, because the mean of its divisors is an integer number (3675612067452).

Almost surely, 2122102313023301 is an apocalyptic number.

It is an amenable number.

122102313023301 is a deficient number, since it is larger than the sum of its proper divisors (54327066214395).

122102313023301 is a wasteful number, since it uses less digits than its factorization.

122102313023301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40182 (or 40169 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122102313023301 its reverse (103320313201221), we get a palindrome (225422626224522).

The spelling of 122102313023301 in words is "one hundred twenty-two trillion, one hundred two billion, three hundred thirteen million, twenty-three thousand, three hundred one".

Divisors: 1 3 13 39 169 507 2437 2833 7311 8499 31681 34883 36829 95043 104649 110487 411853 453479 478777 1235559 1360437 1436331 5895227 6904021 17685681 20712063 85009871 89752273 98823539 255029613 269256819 296470617 1105128323 1166779549 1284706007 3315384969 3500338647 3854118021 14366668199 16701178091 43100004597 50103534273 240832964543 722498893629 3130828539059 9392485617177 40700771007767 122102313023301