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120220101100 = 2252117311313249
BaseRepresentation
bin110111111110110101…
…1010010100111101100
3102111022100022220110001
41233331223102213230
53432202321213400
6131121153554044
711454110666401
oct1577553224754
9374270286401
10120220101100
1146a92127360
121b371575924
13b44b98bac8
145b6667c2a8
1531d9480a6a
hex1bfdad29ec

120220101100 has 144 divisors (see below), whose sum is σ = 291067308000. Its totient is φ = 42732748800.

The previous prime is 120220101059. The next prime is 120220101119. The reversal of 120220101100 is 1101022021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9067276 + ... + 9080524.

It is an arithmetic number, because the mean of its divisors is an integer number (2021300750).

Almost surely, 2120220101100 is an apocalyptic number.

120220101100 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 120220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145533654000).

120220101100 is an abundant number, since it is smaller than the sum of its proper divisors (170847206900).

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

120220101100 is a wasteful number, since it uses less digits than its factorization.

120220101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13460 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120220101100 its reverse (1101022021), we get a palindrome (121321123121).

The spelling of 120220101100 in words is "one hundred twenty billion, two hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 113 146 220 226 275 292 365 452 550 565 730 803 1100 1130 1243 1460 1606 1825 2260 2486 2825 3212 3650 4015 4972 5650 6215 7300 8030 8249 11300 12430 13249 16060 16498 20075 24860 26498 31075 32996 40150 41245 52996 62150 66245 80300 82490 90739 124300 132490 145739 164980 181478 206225 264980 291478 331225 362956 412450 453695 582956 662450 728695 824900 907390 967177 1324900 1457390 1497137 1814780 1934354 2268475 2914780 2994274 3643475 3868708 4536950 4835885 5988548 7286950 7485685 9073900 9671770 10638947 14573900 14971370 16468507 19343540 21277894 24179425 29942740 32937014 37428425 42555788 48358850 53194735 65874028 74856850 82342535 96717700 106389470 109291001 149713700 164685070 212778940 218582002 265973675 329370140 411712675 437164004 531947350 546455005 823425350 1063894700 1092910010 1202201011 1646850700 2185820020 2404402022 2732275025 4808804044 5464550050 6011005055 10929100100 12022010110 24044020220 30055025275 60110050550 120220101100