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101314034232340 = 225227229647150617
BaseRepresentation
bin10111000010010100000011…
…000001010110110000010100
3111021201112020020112212000211
4113002110003001112300110
5101234412120230413330
6555251005204415204
730224461133626126
oct2702240301266024
9437645206485024
10101314034232340
112a31104a088896
12b4434090a7504
13446bb45976777
141b038a8225216
15baa62583ad2a
hex5c2503056c14

101314034232340 has 96 divisors (see below), whose sum is σ = 214963069950720. Its totient is φ = 40108544369664.

The previous prime is 101314034232337. The next prime is 101314034232409. The reversal of 101314034232340 is 43232430413101.

It is a super-2 number, since 2×1013140342323402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672584712 + ... + 672735328.

It is an arithmetic number, because the mean of its divisors is an integer number (2239198645320).

Almost surely, 2101314034232340 is an apocalyptic number.

101314034232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314034232340 is an abundant number, since it is smaller than the sum of its proper divisors (113649035718380).

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

101314034232340 is a wasteful number, since it uses less digits than its factorization.

101314034232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151729 (or 151727 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 101314034232340 its reverse (43232430413101), we get a palindrome (144546464645441).

The spelling of 101314034232340 in words is "one hundred one trillion, three hundred fourteen billion, thirty-four million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 227 229 454 458 647 908 916 1135 1145 1294 2270 2290 2588 3235 4540 4580 6470 12940 51983 103966 146869 148163 150617 207932 259915 293738 296326 301234 519830 587476 592652 602468 734345 740815 753085 1039660 1468690 1481630 1506170 2937380 2963260 3012340 33633001 34190059 34491293 67266002 68380118 68982586 97449199 134532004 136760236 137965172 168165005 170950295 172456465 194898398 336330010 341900590 344912930 389796796 487245995 672660020 683801180 689825860 974491990 1948983980 7829523511 15659047022 22120968173 22315866571 31318094044 39147617555 44241936346 44631733142 78295235110 88483872692 89263466284 110604840865 111579332855 156590470220 221209681730 223158665710 442419363460 446317331420 5065701711617 10131403423234 20262806846468 25328508558085 50657017116170 101314034232340