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100443113244320 = 2557112741168191
BaseRepresentation
bin10110110101101000111100…
…000101011100011010100000
3111011122021020021001122010012
4112311220330011130122200
5101131124443442304240
6553342532413224052
730104526660443150
oct2665507405343240
9434567207048105
10100443113244320
112a005759975100
12b32266b492028
13440798b81b032
141ab3688c26760
15b92b51162b65
hex5b5a3c15c6a0

100443113244320 has 144 divisors (see below), whose sum is σ = 298091917476864. Its totient is φ = 31306944345600.

The previous prime is 100443113244281. The next prime is 100443113244349. The reversal of 100443113244320 is 23442311344001.

It is a super-2 number, since 2×1004431132443202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370448576 + ... + 370719615.

It is an arithmetic number, because the mean of its divisors is an integer number (2070082760256).

Almost surely, 2100443113244320 is an apocalyptic number.

100443113244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100443113244320 is an abundant number, since it is smaller than the sum of its proper divisors (197648804232544).

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

100443113244320 is a wasteful number, since it uses less digits than its factorization.

100443113244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741168235 (or 741168216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 100443113244320 its reverse (23442311344001), we get a palindrome (123885424588321).

The spelling of 100443113244320 in words is "one hundred trillion, four hundred forty-three billion, one hundred thirteen million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 847 880 968 1120 1210 1232 1540 1694 1760 1936 2420 2464 3080 3388 3872 4235 4840 6160 6776 8470 9680 12320 13552 16940 19360 27104 33880 67760 135520 741168191 1482336382 2964672764 3705840955 5188177337 5929345528 7411681910 8152850101 10376354674 11858691056 14823363820 16305700202 20752709348 23717382112 25940886685 29646727640 32611400404 40764250505 41505418696 51881773370 57069950707 59293455280 65222800808 81528501010 83010837392 89681351111 103763546740 114139901414 118586910560 130445601616 163057002020 166021674784 179362702222 207527093480 228279802828 260891203232 285349753535 326114004040 358725404444 415054186960 448406755555 456559605656 570699507070 627769457777 652228008080 717450808888 830108373920 896813511110 913119211312 1141399014140 1255538915554 1304456016160 1434901617776 1793627022220 1826238422624 2282798028280 2511077831108 2869803235552 3138847288885 3587254044440 4565596056560 5022155662216 6277694577770 7174508088880 9131192113120 10044311324432 12555389155540 14349016177760 20088622648864 25110778311080 50221556622160 100443113244320