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100011101220 = 223351284114423
BaseRepresentation
bin101110100100100100…
…0000100110000100100
3100120010221112100021000
41131021020010300210
53114310320214340
6113540000553300
710140240222402
oct1351110046044
9316127470230
10100011101220
1139461728668
1217471622830
13957abc8604
144baa710472
1529051cdd30
hex1749204c24

100011101220 has 96 divisors (see below), whose sum is σ = 311191453440. Its totient is φ = 26665701120.

The previous prime is 100011101207. The next prime is 100011101231. The reversal of 100011101220 is 22101110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6926929 + ... + 6941351.

It is an arithmetic number, because the mean of its divisors is an integer number (3241577640).

Almost surely, 2100011101220 is an apocalyptic number.

100011101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011101220 is an abundant number, since it is smaller than the sum of its proper divisors (211180352220).

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

100011101220 is a wasteful number, since it uses less digits than its factorization.

100011101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27282 (or 27274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011101220 its reverse (22101110001), we get a palindrome (122112211221).

The spelling of 100011101220 in words is "one hundred billion, eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 12841 14423 25682 28846 38523 43269 51364 57692 64205 72115 77046 86538 115569 128410 129807 144230 154092 173076 192615 216345 231138 256820 259614 288460 346707 385230 389421 432690 462276 519228 577845 649035 693414 770460 778842 865380 1155690 1298070 1386828 1557684 1733535 1947105 2311380 2596140 3467070 3894210 6934140 7788420 185205743 370411486 555617229 740822972 926028715 1111234458 1666851687 1852057430 2222468916 2778086145 3333703374 3704114860 5000555061 5556172290 6667406748 8334258435 10001110122 11112344580 16668516870 20002220244 25002775305 33337033740 50005550610 100011101220