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100001111220120 = 233511738231026217
BaseRepresentation
bin10110101111001101010010…
…101101100001111110011000
3111010002000100101021100201110
4112233031102231201332120
5101101404233433020440
6552403513140020320
730030561521306115
oct2657152255417630
9433060311240643
10100001111220120
1129955262295310
12b270a759916a0
1343a50ab424946
141a9a11863190c
15b863d2120080
hex5af352b61f98

100001111220120 has 128 divisors (see below), whose sum is σ = 327281116170240. Its totient is φ = 24242341616640.

The previous prime is 100001111220047. The next prime is 100001111220151. The reversal of 100001111220120 is 21022111100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100001111220096 and 100001111220105.

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, 96933252 + ... + 97959468.

It is an arithmetic number, because the mean of its divisors is an integer number (2556883720080).

Almost surely, 2100001111220120 is an apocalyptic number.

100001111220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001111220120 is an abundant number, since it is smaller than the sum of its proper divisors (227280004950120).

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

100001111220120 is a wasteful number, since it uses less digits than its factorization.

100001111220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100065 (or 1100061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100001111220120 its reverse (21022111100001), we get a palindrome (121023222320121).

The spelling of 100001111220120 in words is "one hundred trillion, one billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 73823 147646 221469 295292 369115 442938 590584 738230 812053 885876 1026217 1107345 1476460 1624106 1771752 2052434 2214690 2436159 2952920 3078651 3248212 4060265 4104868 4429380 4872318 5131085 6157302 6496424 8120530 8209736 8858760 9744636 10262170 11288387 12180795 12314604 15393255 16241060 19489272 20524340 22576774 24361590 24629208 30786510 32482120 33865161 41048680 45153548 48723180 56441935 61573020 67730322 90307096 97446360 112883870 123146040 135460644 169325805 225767740 270921288 338651610 451535480 677303220 1354606440 75758417591 151516835182 227275252773 303033670364 378792087955 454550505546 606067340728 757584175910 833342593501 909101011092 1136376263865 1515168351820 1666685187002 1818202022184 2272752527730 2500027780503 3030336703640 3333370374004 4166712967505 4545505055460 5000055561006 6666740748008 8333425935010 9091010110920 10000111122012 12500138902515 16666851870020 20000222244024 25000277805030 33333703740040 50000555610060 100001111220120