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1302106357104 = 243713131394513
BaseRepresentation
bin10010111100101011100…
…101100011110101110000
311121110222000211110222020
4102330223211203311300
5132313203211411404
62434102430111440
7163034260263240
oct22745345436560
94543860743866
101302106357104
11462247102493
1219043494b580
1395a325cc9a7
144704520bb20
1523d0dce5ed9
hex12f2b963d70

1302106357104 has 160 divisors (see below), whose sum is σ = 3886076941824. Its totient is φ = 368007045120.

The previous prime is 1302106357103. The next prime is 1302106357109. The reversal of 1302106357104 is 4017536012031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302106357103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13729752 + ... + 13824264.

Almost surely, 21302106357104 is an apocalyptic number.

1302106357104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302106357104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943038470912).

1302106357104 is an abundant number, since it is smaller than the sum of its proper divisors (2583970584720).

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

1302106357104 is a wasteful number, since it uses less digits than its factorization.

1302106357104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94975 (or 94969 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 1302106357104 in words is "one trillion, three hundred two billion, one hundred six million, three hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 313 336 393 524 626 786 917 939 1048 1252 1572 1834 1878 2096 2191 2504 2751 3144 3668 3756 4382 5008 5502 6288 6573 7336 7512 8764 11004 13146 14672 15024 17528 22008 26292 35056 41003 44016 52584 82006 94513 105168 123009 164012 189026 246018 283539 287021 328024 378052 492036 567078 574042 656048 661591 756104 861063 984072 1134156 1148084 1323182 1512208 1722126 1968144 1984773 2268312 2296168 2646364 3444252 3969546 4536624 4592336 5292728 6888504 7939092 10585456 12381203 13777008 15878184 24762406 29582569 31756368 37143609 49524812 59165138 74287218 86668421 88747707 99049624 118330276 148574436 173336842 177495414 198099248 207077983 236660552 260005263 297148872 346673684 354990828 414155966 473321104 520010526 594297744 621233949 693347368 709981656 828311932 1040021052 1242467898 1386694736 1419963312 1656623864 2080042104 2484935796 3313247728 3875316539 4160084208 4969871592 7750633078 9939743184 11625949617 15501266156 23251899234 27127215773 31002532312 46503798468 54254431546 62005064624 81381647319 93007596936 108508863092 162763294638 186015193872 217017726184 325526589276 434035452368 651053178552 1302106357104