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131001205130510 = 2511131133172557417
BaseRepresentation
bin11101110010010100011000…
…010011000000010100001110
3122011211121000020002200112012
4131302110120103000110032
5114132310432003134020
61142341042310341222
736410344661664521
oct3562243023002416
9564747006080465
10131001205130510
1138817332113550
1212838ab265a812
13581348c4204b0
14244c6c66acbb8
151022996a107c5
hex7725184c050e

131001205130510 has 128 divisors (see below), whose sum is σ = 280359628424064. Its totient is φ = 43445792194560.

The previous prime is 131001205130501. The next prime is 131001205130533. The reversal of 131001205130510 is 15031502100131.

It is a super-2 number, since 2×1310012051305102 (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49945322 + ... + 52502738.

It is an arithmetic number, because the mean of its divisors is an integer number (2190309597063).

Almost surely, 2131001205130510 is an apocalyptic number.

131001205130510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131001205130510 is an abundant number, since it is smaller than the sum of its proper divisors (149358423293554).

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

131001205130510 is a wasteful number, since it uses less digits than its factorization.

131001205130510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557878.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 131001205130510 its reverse (15031502100131), we get a palindrome (146032707230641).

The spelling of 131001205130510 in words is "one hundred thirty-one trillion, one billion, two hundred five million, one hundred thirty thousand, five hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 113 130 143 226 286 317 565 634 715 1130 1243 1430 1469 1585 2486 2938 3170 3487 4121 6215 6974 7345 8242 12430 14690 16159 17435 20605 32318 34870 35821 41210 45331 71642 80795 90662 161590 179105 226655 358210 394031 453310 465673 788062 931346 1970155 2328365 2557417 3940310 4656730 5114834 5122403 10244806 12787085 25574170 25612015 28131587 33246421 51224030 56263174 66492842 140657935 166232105 281315870 288988121 332464210 365710631 577976242 731421262 810701189 1444940605 1621402378 1828553155 2889881210 3178869331 3657106310 3756845573 4053505945 6357738662 7513691146 8107011890 8917713079 10539115457 15894346655 17835426158 18784227865 21078230914 31788693310 37568455730 41325301303 44588565395 52695577285 82650602606 89177130790 91609234357 105391154570 115930270027 183218468714 206626506515 231860540054 413253013030 458046171785 579651350135 916092343570 1007701577927 1159302700270 1190920046641 2015403155854 2381840093282 5038507889635 5954600233205 10077015779270 11909200466410 13100120513051 26200241026102 65500602565255 131001205130510