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131413113020042 = 271710313756576917
BaseRepresentation
bin11101111000010011111111…
…111010111001111010001010
3122020021222012210110112001122
4131320103333322321322022
5114211033023413120132
61143254203430115242
736452166306166610
oct3570237772717212
9566258183415048
10131413113020042
1138965a96404567
12128a48a97abb22
135843284ab28c9
1424646001536b0
15102d553a32912
hex7784ffeb9e8a

131413113020042 has 128 divisors (see below), whose sum is σ = 242683177890816. Its totient is φ = 52092439805952.

The previous prime is 131413113019927. The next prime is 131413113020081. The reversal of 131413113020042 is 240020311314131.

It is a junction number, because it is equal to n+sod(n) for n = 131413113019993 and 131413113020020.

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, 18998567168 + ... + 18998574084.

It is an arithmetic number, because the mean of its divisors is an integer number (1895962327272).

Almost surely, 2131413113020042 is an apocalyptic number.

131413113020042 is a deficient number, since it is larger than the sum of its proper divisors (111270064870774).

131413113020042 is a wasteful number, since it uses less digits than its factorization.

131413113020042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131413113020042 its reverse (240020311314131), we get a palindrome (371433424334173).

The spelling of 131413113020042 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirteen million, twenty thousand, forty-two".

Divisors: 1 2 7 14 17 34 103 119 137 206 238 274 721 959 1442 1751 1918 2329 3502 4658 5657 6917 11314 12257 13834 14111 16303 24514 28222 32606 39599 48419 79198 96169 96838 98777 117589 192338 197554 235178 239887 479774 582671 673183 712451 775009 823123 947629 1165342 1346366 1424902 1550018 1646246 1679209 1895258 3358418 4078697 4987157 5425063 6633403 8157394 9905407 9974314 10850126 12111667 13175153 13266806 16109693 19810814 24223334 26350306 32219386 39129469 69337849 78258938 79825927 84781669 92226071 97605787 112767851 138675698 159651854 169563338 184452142 195211574 225535702 273906283 547812566 558781489 665200973 683240509 1117562978 1330401946 1357040759 1366481018 1659298379 2714081518 3318596758 4030335307 4656406811 5360737253 8060670614 9312813622 9499285313 10721474506 11615088653 18998570626 23230177306 28212347149 37525160771 56424694298 68515700219 75050321542 91132533301 137031400438 182265066602 479609901533 552155937059 637927733107 959219803066 1104311874118 1275855466214 3865091559413 7730183118826 9386650930003 18773301860006 65706556510021 131413113020042