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130005106015356 = 22321113191132217367
BaseRepresentation
bin11101100011110100101100…
…001010011011110001111100
3122001022100220100212202001200
4131203310230022123301330
5114020000424114442411
61140255304325335500
736245362502133555
oct3543645412336174
9561270810782050
10130005106015356
1138472946135130
12126b7a3ab67590
135770576382550
1424163d037932c
151006ae7991e56
hex763d2c29bc7c

130005106015356 has 144 divisors (see below), whose sum is σ = 388097111420928. Its totient is φ = 36174671337600.

The previous prime is 130005106015297. The next prime is 130005106015381. The reversal of 130005106015356 is 653510601500031.

130005106015356 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 5 + 10 + 601 + 5 + 35 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130005106015356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65125416 + ... + 67091951.

It is an arithmetic number, because the mean of its divisors is an integer number (2695118829312).

Almost surely, 2130005106015356 is an apocalyptic number.

It is an amenable number.

130005106015356 is an abundant number, since it is smaller than the sum of its proper divisors (258092005405572).

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

130005106015356 is a wasteful number, since it uses less digits than its factorization.

130005106015356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132217592 (or 132217587 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 130005106015356 its reverse (653510601500031), we get a palindrome (783515707515387).

The spelling of 130005106015356 in words is "one hundred thirty trillion, five billion, one hundred six million, fifteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 191 198 234 286 382 396 429 468 572 573 764 858 1146 1287 1716 1719 2101 2292 2483 2574 3438 4202 4966 5148 6303 6876 7449 8404 9932 12606 14898 18909 22347 25212 27313 29796 37818 44694 54626 75636 81939 89388 109252 163878 245817 327756 491634 983268 132217367 264434734 396652101 528869468 793304202 1189956303 1454391037 1586608404 1718825771 2379912606 2908782074 3437651542 4363173111 4759825212 5156477313 5817564148 6875303084 8726346222 10312954626 13089519333 15469431939 17452692444 18907083481 20625909252 25253517097 26179038666 30938863878 37814166962 50507034194 52358077332 56721250443 61877727756 75628333924 75760551291 101014068388 113442500886 151521102582 170163751329 226885001772 227281653873 277788688067 303042205164 328295722261 340327502658 454563307746 555577376134 656591444522 680655005316 833366064201 909126615492 984887166783 1111154752268 1313182889044 1666732128402 1969774333566 2500098192603 2954661500349 3333464256804 3611252944871 3939548667132 5000196385206 5909323000698 7222505889742 10000392770412 10833758834613 11818646001396 14445011779484 21667517669226 32501276503839 43335035338452 65002553007678 130005106015356