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100121120 = 25511163349
BaseRepresentation
bin1011111011110…
…11101000100000
320222101200100122
411331323220200
5201112333440
613533535412
72324005211
oct575735040
9228350318
10100121120
1151574530
1229644568
1317986988
14d423408
158bca7b5
hex5f7ba20

100121120 has 96 divisors (see below), whose sum is σ = 260366400. Its totient is φ = 36080640.

The previous prime is 100121111. The next prime is 100121123. The reversal of 100121120 is 21121001.

Added to its reverse (21121001) it gives a square (121242121 = 110112).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100121098 and 100121107.

It is not an unprimeable number, because it can be changed into a prime (100121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286706 + ... + 287054.

It is an arithmetic number, because the mean of its divisors is an integer number (2712150).

Almost surely, 2100121120 is an apocalyptic number.

100121120 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 100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130183200).

100121120 is an abundant number, since it is smaller than the sum of its proper divisors (160245280).

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

100121120 is a wasteful number, since it uses less digits than its factorization.

100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100121120 is about 10006.0541673529. The cubic root of 100121120 is about 464.3462041671.

Adding to 100121120 its reverse (21121001), we get a palindrome (121242121).

The spelling of 100121120 in words is "one hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 163 176 220 326 349 352 440 652 698 815 880 1304 1396 1630 1745 1760 1793 2608 2792 3260 3490 3586 3839 5216 5584 6520 6980 7172 7678 8965 11168 13040 13960 14344 15356 17930 19195 26080 27920 28688 30712 35860 38390 55840 56887 57376 61424 71720 76780 113774 122848 143440 153560 227548 284435 286880 307120 455096 568870 614240 625757 910192 1137740 1251514 1820384 2275480 2503028 3128785 4550960 5006056 6257570 9101920 10012112 12515140 20024224 25030280 50060560 100121120