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104542153320 = 233511228134721
BaseRepresentation
bin110000101011100110…
…0101010101001101000
3100222211201111122020110
41201113030222221220
53203100242401240
6120005341054320
710360436433003
oct1412714525150
9328751448213
10104542153320
1140377358120
1218316b573a0
139b20854c27
1450ba3c053a
152abcda2c80
hex185732aa68

104542153320 has 128 divisors (see below), whose sum is σ = 342297809280. Its totient is φ = 25331712000.

The previous prime is 104542153319. The next prime is 104542153369. The reversal of 104542153320 is 23351245401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2993560 + ... + 3028280.

It is an arithmetic number, because the mean of its divisors is an integer number (2674201635).

Almost surely, 2104542153320 is an apocalyptic number.

104542153320 is a gapful number since it is divisible by the number (10) 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 104542153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171148904640).

104542153320 is an abundant number, since it is smaller than the sum of its proper divisors (237755655960).

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

104542153320 is a wasteful number, since it uses less digits than its factorization.

104542153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37027 (or 37023 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 104542153320 its reverse (23351245401), we get a palindrome (127893398721).

The spelling of 104542153320 in words is "one hundred four billion, five hundred forty-two million, one hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2281 4562 6843 9124 11405 13686 18248 22810 25091 27372 34215 34721 45620 50182 54744 68430 69442 75273 91240 100364 104163 125455 136860 138884 150546 173605 200728 208326 250910 273720 277768 301092 347210 376365 381931 416652 501820 520815 602184 694420 752730 763862 833304 1003640 1041630 1145793 1388840 1505460 1527724 1909655 2083260 2291586 3010920 3055448 3819310 4166520 4583172 5728965 7638620 9166344 11457930 15277240 22915860 45831720 79198601 158397202 237595803 316794404 395993005 475191606 633588808 791986010 871184611 950383212 1187979015 1583972020 1742369222 1900766424 2375958030 2613553833 3167944040 3484738444 4355923055 4751916060 5227107666 6969476888 8711846110 9503832120 10454215332 13067769165 17423692220 20908430664 26135538330 34847384440 52271076660 104542153320