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130344400221021 = 3272532105220909
BaseRepresentation
bin11101101000110000101011…
…101011000111001101011101
3122002111210200100210020111100
4131220300223223013031131
5114041030312424033041
61141115220225543313
736312033514243500
oct3550605353071535
9562453610706440
10130344400221021
1138593827942768
121275174baa4b39
135796568c75b0c
1424289ba043137
151010854bbd6b6
hex768c2bac735d

130344400221021 has 54 divisors (see below), whose sum is σ = 223224371809530. Its totient is φ = 73077183256896.

The previous prime is 130344400220989. The next prime is 130344400221029. The reversal of 130344400221021 is 120122004443031.

130344400221021 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 440 + 0 + 2 + 210 + 2 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 49034306002500 + 81310094218521 = 7002450^2 + 9017211^2 .

It is not a de Polignac number, because 130344400221021 - 25 = 130344400220989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130344400221029) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 51371686 + ... + 53849223.

Almost surely, 2130344400221021 is an apocalyptic number.

It is an amenable number.

130344400221021 is a deficient number, since it is larger than the sum of its proper divisors (92879971588509).

130344400221021 is a wasteful number, since it uses less digits than its factorization.

130344400221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105221035 (or 105220972 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130344400221021 its reverse (120122004443031), we get a palindrome (250466404664052).

The spelling of 130344400221021 in words is "one hundred thirty trillion, three hundred forty-four billion, four hundred million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 2597 2809 3339 7791 8427 19663 23373 25281 58989 137641 176967 412923 1238769 105220909 315662727 736546363 946988181 2209639089 5155824541 5576708177 6628917267 15467473623 16730124531 39036957239 46402420869 50190373593 117110871717 273258700673 295565533381 351332615151 819776102019 886696600143 2068958733667 2459328306057 2660089800429 6206876201001 14482711135669 18620628603003 43448133407007 130344400221021