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101330411220 = 223256538111063
BaseRepresentation
bin101111001011111000…
…0110101111011010100
3100200112220001020100100
41132113300311323110
53130011041124340
6114314530214100
710215030166263
oct1362760657324
9320486036310
10101330411220
1139a79414805
121777b424330
13972b33490c
144c93a1a5da
152980e35830
hex1797c35ed4

101330411220 has 144 divisors (see below), whose sum is σ = 308509149312. Its totient is φ = 26921445120.

The previous prime is 101330411209. The next prime is 101330411251. The reversal of 101330411220 is 22114033101.

101330411220 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 30 + 411 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101330411193 and 101330411202.

It is a congruent number.

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, 95324409 + ... + 95325471.

It is an arithmetic number, because the mean of its divisors is an integer number (2142424648).

Almost surely, 2101330411220 is an apocalyptic number.

101330411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101330411220 is an abundant number, since it is smaller than the sum of its proper divisors (207178738092).

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

101330411220 is a wasteful number, since it uses less digits than its factorization.

101330411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101330411220 its reverse (22114033101), we get a palindrome (123444444321).

The spelling of 101330411220 in words is "one hundred one billion, three hundred thirty million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 653 811 1063 1306 1622 1959 2126 2433 2612 3189 3244 3265 3918 4055 4252 4866 5315 5877 6378 6530 7299 7836 8110 9567 9732 9795 10630 11754 12165 12756 13060 14598 15945 16220 19134 19590 21260 23508 24330 29196 29385 31890 36495 38268 39180 47835 48660 58770 63780 72990 95670 117540 145980 191340 529583 694139 862093 1059166 1388278 1588749 1724186 2082417 2118332 2586279 2647915 2776556 3177498 3448372 3470695 4164834 4310465 4766247 5172558 5295830 6247251 6354996 6941390 7758837 7943745 8329668 8620930 9532494 10345116 10412085 10591660 12494502 12931395 13882780 15517674 15887490 17241860 19064988 20824170 23831235 24989004 25862790 31035348 31236255 31774980 38794185 41648340 47662470 51725580 62472510 77588370 95324940 124945020 155176740 562946729 1125893458 1688840187 2251786916 2814733645 3377680374 5066520561 5629467290 6755360748 8444200935 10133041122 11258934580 16888401870 20266082244 25332602805 33776803740 50665205610 101330411220