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104302402141212 = 22341142196936607
BaseRepresentation
bin10111101101110011001011…
…101000001111110000011100
3111200022012201201222200020000
4113231303023220033300130
5102132342304422004322
61005455510112054300
730653412521013132
oct2755631350176034
9450265651880200
10104302402141212
113026344493a310
12b846607534390
13462789c6286c2
141ba839830d752
15c0d228c843ac
hex5edccba0fc1c

104302402141212 has 120 divisors (see below), whose sum is σ = 297525545264640. Its totient is φ = 31599292436640.

The previous prime is 104302402141169. The next prime is 104302402141307. The reversal of 104302402141212 is 212141204203401.

104302402141212 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 2 + 402 + 1 + 41 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11568213 + ... + 18504819.

It is an arithmetic number, because the mean of its divisors is an integer number (2479379543872).

Almost surely, 2104302402141212 is an apocalyptic number.

104302402141212 is a gapful number since it is divisible by the number (12) 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 104302402141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148762772632320).

104302402141212 is an abundant number, since it is smaller than the sum of its proper divisors (193223143123428).

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

104302402141212 is a wasteful number, since it uses less digits than its factorization.

104302402141212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940853 (or 6940842 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104302402141212 its reverse (212141204203401), we get a palindrome (316443606344613).

The spelling of 104302402141212 in words is "one hundred four trillion, three hundred two billion, four hundred two million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 4219 8438 12657 16876 25314 37971 46409 50628 75942 92818 113913 139227 151884 185636 227826 278454 341739 417681 455652 556908 683478 835362 1253043 1366956 1670724 2506086 3759129 5012172 6936607 7518258 13873214 15036516 20809821 27746428 41619642 62429463 76302677 83239284 124858926 152605354 187288389 228908031 249717852 305210708 374576778 457816062 561865167 686724093 749153556 915632124 1123730334 1373448186 2060172279 2247460668 2746896372 4120344558 6180516837 8240689116 12361033674 24722067348 29265544933 58531089866 87796634799 117062179732 175593269598 263389904397 321920994263 351186539196 526779808794 643841988526 790169713191 965762982789 1053559617588 1287683977052 1580339426382 1931525965578 2370509139573 2897288948367 3160678852764 3863051931156 4741018279146 5794577896734 8691866845101 9482036558292 11589155793468 17383733690202 26075600535303 34767467380404 52151201070606 104302402141212