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130223410341310 = 2511131031994442861
BaseRepresentation
bin11101100111000000000000…
…000111010110010110111110
3122002002020101100222112022101
4131213000000013112112332
5114032040021021410220
61140543450412535314
736300221335240426
oct3547000007262676
9562066340875271
10130223410341310
1138547490247340
121273220478153a
135788026985b10
142422bbd465486
15100c622d8530a
hex7670001d65be

130223410341310 has 128 divisors (see below), whose sum is σ = 279452465510400. Its totient is φ = 43069440268800.

The previous prime is 130223410341307. The next prime is 130223410341347. The reversal of 130223410341310 is 13143014322031.

It is a super-2 number, since 2×1302234103413102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27089280 + ... + 31532140.

It is an arithmetic number, because the mean of its divisors is an integer number (2183222386800).

Almost surely, 2130223410341310 is an apocalyptic number.

130223410341310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130223410341310 is an abundant number, since it is smaller than the sum of its proper divisors (149229055169090).

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

130223410341310 is a wasteful number, since it uses less digits than its factorization.

130223410341310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443194.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 130223410341310 its reverse (13143014322031), we get a palindrome (143366424663341).

It can be divided in two parts, 130223410 and 341310, that added together give a triangular number (130564720 = T16159).

The spelling of 130223410341310 in words is "one hundred thirty trillion, two hundred twenty-three billion, four hundred ten million, three hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 103 110 130 143 199 206 286 398 515 715 995 1030 1133 1339 1430 1990 2189 2266 2587 2678 4378 5174 5665 6695 10945 11330 12935 13390 14729 20497 21890 25870 28457 29458 40994 56914 73645 102485 142285 147290 204970 225467 266461 284570 450934 532922 1127335 1332305 2254670 2664610 2931071 4442861 5862142 8885722 14655355 22214305 29310710 44428610 48871471 57757193 97742942 115514386 244357355 288785965 457614683 488714710 577571930 635329123 884129339 915229366 1270658246 1768258678 2288073415 3176645615 4420646695 4576146830 5033761513 5948990879 6353291230 8841293390 9725422729 10067523026 11493681407 11897981758 19450845458 22987362814 25168807565 29744954395 48627113645 50337615130 57468407035 59489908790 65438899669 91065321917 97254227290 114936814070 126430495477 130877799338 182130643834 252860990954 327194498345 455326609585 632152477385 654388996690 910653219170 1001718541087 1183849184921 1264304954770 2003437082174 2367698369842 5008592705435 5919245924605 10017185410870 11838491849210 13022341034131 26044682068262 65111705170655 130223410341310