Search a number
-
+
301123130311302 = 2313191632417515741
BaseRepresentation
bin100010001110111101011000…
…1001101110100001010000110
31110111012002102200202220200020
41010131322301031310022012
5303432100132324430202
62544234020100400010
7120266266611552405
oct10435726115641206
91414162380686606
10301123130311302
1187a46669884772
122993381b0a6006
13cc03a35266610
145450619c2d63c
1524c2d84cb05bc
hex111deb1374286

301123130311302 has 128 divisors (see below), whose sum is σ = 687182232522240. Its totient is φ = 87202012354560.

The previous prime is 301123130311271. The next prime is 301123130311313. The reversal of 301123130311302 is 203113031321103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583607152 + ... + 584122892.

It is an arithmetic number, because the mean of its divisors is an integer number (5368611191580).

Almost surely, 2301123130311302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301123130311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343591116261120).

301123130311302 is an abundant number, since it is smaller than the sum of its proper divisors (386059102210938).

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

301123130311302 is a wasteful number, since it uses less digits than its factorization.

301123130311302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518358.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 301123130311302 its reverse (203113031321103), we get a palindrome (504236161632405).

The spelling of 301123130311302 in words is "three hundred one trillion, one hundred twenty-three billion, one hundred thirty million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 163 247 326 489 494 741 978 1482 2119 2417 3097 4238 4834 6194 6357 7251 9291 12714 14502 18582 31421 40261 45923 62842 80522 91846 94263 120783 137769 188526 241566 275538 393971 515741 596999 787942 1031482 1181913 1193998 1547223 1790997 2363826 3094446 3581994 5121623 6704633 7485449 9799079 10243246 13409266 14970898 15364869 19598158 20113899 22456347 29397237 30729738 40227798 44912694 58794474 84065783 97310837 127388027 168131566 194621674 252197349 254776054 291932511 382164081 504394698 583865022 764328162 1092855179 1246545997 1597249877 2185710358 2493091994 3194499754 3278565537 3739637991 4791749631 6557131074 7479275982 9583499262 16205097961 20764248401 23684373943 32410195922 41528496802 47368747886 48615293883 62292745203 71053121829 97230587766 124585490406 142106243658 203186997511 307896861259 406373995022 609560992533 615793722518 923690583777 1219121985066 1847381167554 2641430967643 3860552952709 5282861935286 7721105905418 7924292902929 11581658858127 15848585805858 23163317716254 50187188385217 100374376770434 150561565155651 301123130311302