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301234130102022 = 2313611032591237233
BaseRepresentation
bin100010001111110001000100…
…1010100011010011100000110
31110111120200221110110112002020
41010133202021110122130012
5303440404444301231042
62544401014323224010
7120310306363322535
oct10437421124323406
91414520843415066
10301234130102022
1187a8974a3153a7
1229951238818006
13cc11344929360
145455b49b0831c
1524c5bcea473ec
hex111f88951a706

301234130102022 has 128 divisors (see below), whose sum is σ = 666110438203392. Its totient is φ = 90247607654400.

The previous prime is 301234130101991. The next prime is 301234130102027. The reversal of 301234130102022 is 220201031432103.

It is a super-2 number, since 2×3012341301020222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301234130101983 and 301234130102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301234130102027) 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, 1269663118 + ... + 1269900350.

It is an arithmetic number, because the mean of its divisors is an integer number (5203987798464).

Almost surely, 2301234130102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301234130102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333055219101696).

301234130102022 is an abundant number, since it is smaller than the sum of its proper divisors (364876308101370).

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

301234130102022 is a wasteful number, since it uses less digits than its factorization.

301234130102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240006.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 301234130102022 its reverse (220201031432103), we get a palindrome (521435161534125).

The spelling of 301234130102022 in words is "three hundred one trillion, two hundred thirty-four billion, one hundred thirty million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 61 78 103 122 183 206 309 366 618 793 1339 1586 2379 2591 2678 4017 4758 5182 6283 7773 8034 12566 15546 18849 33683 37698 67366 81679 101049 158051 163358 202098 237233 245037 266873 316102 474153 474466 490074 533746 711699 800619 948306 1423398 1601238 2054663 3084029 3469349 4109326 6163989 6168058 6938698 9252087 10408047 12327978 14471213 16279253 18504174 20816094 24434999 28942426 32558506 43413639 48837759 48869998 73304997 86827278 97675518 146609994 188125769 211630289 317654987 376251538 423260578 564377307 614670703 634890867 635309974 952964961 1128754614 1229341406 1269781734 1490534939 1844012109 1905929922 2981069878 3688024218 4471604817 7990719139 8943209634 15981438278 19376954207 23972157417 37494912883 38753908414 47944314834 58130862621 63311082409 74989825766 112484738649 116261725242 126622164818 189933247227 224969477298 379866494454 487433867479 823044071317 974867734958 1462301602437 1646088142634 2469132213951 2924603204874 3861976026949 4938264427902 7723952053898 11585928080847 23171856161694 50205688350337 100411376700674 150617065051011 301234130102022