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130224151535205 = 35713216144147297
BaseRepresentation
bin11101100111000000101100…
…010010110001111001100101
3122002002022022000200002012010
4131213000230102301321211
5114032043030243111310
61140544052131144433
736300245605261530
oct3547005422617145
9562068260602163
10130224151535205
1138547830672282
1212732390a45119
1357881143b92a0
142422c4da83a17
15100c667e93320
hex76702c4b1e65

130224151535205 has 64 divisors (see below), whose sum is σ = 256560079845888. Its totient is φ = 54926299791360.

The previous prime is 130224151535197. The next prime is 130224151535207. The reversal of 130224151535205 is 502535151422031.

It is not a de Polignac number, because 130224151535205 - 23 = 130224151535197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130224151535207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19123884 + ... + 25023413.

It is an arithmetic number, because the mean of its divisors is an integer number (4008751247592).

Almost surely, 2130224151535205 is an apocalyptic number.

130224151535205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130224151535205 is a deficient number, since it is larger than the sum of its proper divisors (126335928310683).

130224151535205 is a wasteful number, since it uses less digits than its factorization.

130224151535205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44149486.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 130224151535205 in words is "one hundred thirty trillion, two hundred twenty-four billion, one hundred fifty-one million, five hundred thirty-five thousand, two hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 2161 6483 10805 15127 28093 32415 45381 75635 84279 140465 196651 226905 421395 589953 983255 2949765 44147297 132441891 220736485 309031079 573914861 662209455 927093237 1545155395 1721744583 2869574305 4017404027 4635466185 8608722915 12052212081 20087020135 60261060405 95402308817 286206926451 477011544085 667816161719 1240230014621 1431034632255 2003448485157 3339080808595 3720690043863 6201150073105 8681610102347 10017242425785 18603450219315 26044830307041 43408050511735 130224151535205