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100314111120 = 24352914412947
BaseRepresentation
bin101110101101100101…
…1111101110010010000
3100120221001200211200220
41131123023331302100
53120420403023440
6114030023313040
710150606606236
oct1353313756220
9316831624626
10100314111120
11395a7778473
1217536bab780
1395c890b402
144bd8a68956
152921ad48d0
hex175b2fdc90

100314111120 has 80 divisors (see below), whose sum is σ = 321696999360. Its totient is φ = 25827999232.

The previous prime is 100314111119. The next prime is 100314111137. The reversal of 100314111120 is 21111413001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100314111120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7199514 + ... + 7213433.

It is an arithmetic number, because the mean of its divisors is an integer number (4021212492).

Almost surely, 2100314111120 is an apocalyptic number.

100314111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100314111120 is an abundant number, since it is smaller than the sum of its proper divisors (221382888240).

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

100314111120 is a wasteful number, since it uses less digits than its factorization.

100314111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412992 (or 14412986 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100314111120 its reverse (21111413001), we get a palindrome (121425524121).

The spelling of 100314111120 in words is "one hundred billion, three hundred fourteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 14412947 28825894 43238841 57651788 72064735 86477682 115303576 144129470 172955364 216194205 230607152 288258940 345910728 417975463 432388410 576517880 691821456 835950926 864776820 1153035760 1253926389 1671901852 1729553640 2089877315 2507852778 3343803704 3459107280 4179754630 5015705556 6269631945 6687607408 8359509260 10031411112 12539263890 16719018520 20062822224 25078527780 33438037040 50157055560 100314111120