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104152021373130 = 23573503823114883
BaseRepresentation
bin10111101011100111001000…
…001111001001000011001010
3111122202211120110001010201220
4113223213020033021003022
5102122411314432420010
61005302440022222510
730636510116406633
oct2753471017110312
9448684513033656
10104152021373130
11302056959114a5
12b821439284a36
13461665520c5b3
141ba0db016288a
15c09376a3e970
hex5eb9c83c90ca

104152021373130 has 128 divisors (see below), whose sum is σ = 254203492257792. Its totient is φ = 27305491972608.

The previous prime is 104152021373123. The next prime is 104152021373161. The reversal of 104152021373130 is 31373120251401.

It is a happy number.

It is a super-2 number, since 2×1041520213731302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104152021373091 and 104152021373100.

It is an unprimeable number.

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, 906534669 + ... + 906649551.

It is an arithmetic number, because the mean of its divisors is an integer number (1985964783264).

Almost surely, 2104152021373130 is an apocalyptic number.

104152021373130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104152021373130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127101746128896).

104152021373130 is an abundant number, since it is smaller than the sum of its proper divisors (150051470884662).

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

104152021373130 is a wasteful number, since it uses less digits than its factorization.

104152021373130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116292.

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

The spelling of 104152021373130 in words is "one hundred four trillion, one hundred fifty-two billion, twenty-one million, three hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 503 730 823 1006 1095 1509 1646 2190 2469 2515 3018 4115 4938 5030 7545 8230 12345 15090 24690 36719 60079 73438 110157 114883 120158 180237 183595 220314 229766 300395 344649 360474 367190 413969 550785 574415 600790 689298 827938 901185 1101570 1148830 1241907 1723245 1802370 2069845 2483814 3446490 4139690 6209535 8386459 12419070 16772918 25159377 30219737 41932295 50318754 57786149 60439474 83864590 90659211 94548709 115572298 125796885 151098685 173358447 181318422 189097418 251593770 283646127 288930745 302197370 346716894 453296055 472743545 567292254 577861490 866792235 906592110 945487090 1418230635 1733584470 2836461270 4218388877 6902055757 8436777754 12655166631 13804111514 20706167271 21091944385 25310333262 34510278785 41412334542 42183888770 47558000627 63275833155 69020557570 95116001254 103530836355 126551666310 142674001881 207061672710 237790003135 285348003762 475580006270 713370009405 1426740018810 3471734045771 6943468091542 10415202137313 17358670228855 20830404274626 34717340457710 52076010686565 104152021373130