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100310231120 = 24511239617773
BaseRepresentation
bin101110101101011110…
…1001010100001010000
3100120220210101201100012
41131122331022201100
53120413404343440
6114025404214052
710150531616261
oct1353275124120
9316823351305
10100310231120
11395a5568360
121753583a328
1395c7b80358
144bd8338968
1529215b9e65
hex175af4a850

100310231120 has 160 divisors (see below), whose sum is σ = 256232885760. Its totient is φ = 36218040320.

The previous prime is 100310231089. The next prime is 100310231137. The reversal of 100310231120 is 21132013001.

It is a junction number, because it is equal to n+sod(n) for n = 100310231095 and 100310231104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129767054 + ... + 129767826.

It is an arithmetic number, because the mean of its divisors is an integer number (1601455536).

Almost surely, 2100310231120 is an apocalyptic number.

100310231120 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 100310231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116442880).

100310231120 is an abundant number, since it is smaller than the sum of its proper divisors (155922654640).

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

100310231120 is a wasteful number, since it uses less digits than its factorization.

100310231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100310231120 its reverse (21132013001), we get a palindrome (121442244121).

The spelling of 100310231120 in words is "one hundred billion, three hundred ten million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 440 478 617 773 880 956 1195 1234 1546 1912 2390 2468 2629 3085 3092 3824 3865 4780 4936 5258 6170 6184 6787 7730 8503 9560 9872 10516 12340 12368 13145 13574 15460 17006 19120 21032 24680 26290 27148 30920 33935 34012 42064 42515 49360 52580 54296 61840 67870 68024 85030 105160 108592 135740 136048 147463 170060 184747 210320 271480 294926 340120 369494 476941 542960 589852 680240 737315 738988 923735 953882 1179704 1474630 1477976 1622093 1847470 1907764 2032217 2359408 2384705 2949260 2955952 3244186 3694940 3815528 4064434 4769410 5246351 5898520 6488372 7389880 7631056 8110465 8128868 9538820 10161085 10492702 11797040 12976744 14779760 16220930 16257736 19077640 20322170 20985404 25953488 26231755 32441860 32515472 38155280 40644340 41970808 52463510 64883720 81288680 83941616 104927020 113988899 129767440 162577360 209854040 227977798 419708080 455955596 569944495 911911192 1139888990 1253877889 1823822384 2279777980 2507755778 4559555960 5015511556 6269389445 9119111920 10031023112 12538778890 20062046224 25077557780 50155115560 100310231120