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100403101330400 = 25521167170290199
BaseRepresentation
bin10110110101000011101011…
…001100000110101111100000
3111011111102221202120210210102
4112311003223030012233200
5101130001022420033100
6553312314211121532
730101612310001661
oct2665035314065740
9434442852523712
10100403101330400
1129a9a797219a50
12b3169635a32a8
134403c83156a1b
141ab1770c37368
15b91aad5c5cd5
hex5b50eb306be0

100403101330400 has 144 divisors (see below), whose sum is σ = 271382636649600. Its totient is φ = 35965289817600.

The previous prime is 100403101330391. The next prime is 100403101330403. The reversal of 100403101330400 is 4033101304001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100403101330403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 84555500 + ... + 85734699.

It is an arithmetic number, because the mean of its divisors is an integer number (1884601643400).

Almost surely, 2100403101330400 is an apocalyptic number.

100403101330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100403101330400 is an abundant number, since it is smaller than the sum of its proper divisors (170979535319200).

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

100403101330400 is a wasteful number, since it uses less digits than its factorization.

100403101330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170290297 (or 170290284 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100403101330400 its reverse (4033101304001), we get a palindrome (104436202634401).

The spelling of 100403101330400 in words is "one hundred trillion, four hundred three billion, one hundred one million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 67 80 88 100 110 134 160 176 200 220 268 275 335 352 400 440 536 550 670 737 800 880 1072 1100 1340 1474 1675 1760 2144 2200 2680 2948 3350 3685 4400 5360 5896 6700 7370 8800 10720 11792 13400 14740 18425 23584 26800 29480 36850 53600 58960 73700 117920 147400 294800 589600 170290199 340580398 681160796 851450995 1362321592 1702901990 1873192189 2724643184 3405803980 3746384378 4257254975 5449286368 6811607960 7492768756 8514509950 9365960945 11409443333 13623215920 14985537512 17029019900 18731921890 22818886666 27246431840 29971075024 34058039800 37463843780 45637773332 46829804725 57047216665 59942150048 68116079600 74927687560 91275546664 93659609450 114094433330 125503876663 136232159200 149855375120 182551093328 187319218900 228188866660 251007753326 285236083325 299710750240 365102186656 374638437800 456377733320 502015506652 570472166650 627519383315 749276875600 912755466640 1004031013304 1140944333300 1255038766630 1498553751200 1825510933280 2008062026608 2281888666600 2510077533260 3137596916575 4016124053216 4563777333200 5020155066520 6275193833150 9127554666400 10040310133040 12550387666300 20080620266080 25100775332600 50201550665200 100403101330400