Search a number
-
+
100120011222220 = 2251110722918572867
BaseRepresentation
bin10110110000111100000001…
…101101000010110011001100
3111010111101020201121021202221
4112300330001231002303030
5101110331240333102340
6552534255335425124
730042301132534423
oct2660740155026314
9433441221537687
10100120011222220
11299a0727236760
12b28bb192251a4
1343b337975c282
141aa1b9783a2ba
15b8954074044a
hex5b0f01b42ccc

100120011222220 has 96 divisors (see below), whose sum is σ = 232520420724480. Its totient is φ = 35909522039040.

The previous prime is 100120011222211. The next prime is 100120011222227. The reversal of 100120011222220 is 22222110021001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100120011222194 and 100120011222203.

It is not an unprimeable number, because it can be changed into a prime (100120011222227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895774 + ... + 14677093.

It is an arithmetic number, because the mean of its divisors is an integer number (2422087715880).

Almost surely, 2100120011222220 is an apocalyptic number.

100120011222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120011222220 is an abundant number, since it is smaller than the sum of its proper divisors (132400409502260).

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

100120011222220 is a wasteful number, since it uses less digits than its factorization.

100120011222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18573223 (or 18573221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120011222220 its reverse (22222110021001), we get a palindrome (122342121243221).

The spelling of 100120011222220 in words is "one hundred trillion, one hundred twenty billion, eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 229 428 458 535 916 1070 1145 1177 2140 2290 2354 2519 4580 4708 5038 5885 10076 11770 12595 23540 24503 25190 49006 50380 98012 122515 245030 269533 490060 539066 1078132 1347665 2695330 5390660 18572867 37145734 74291468 92864335 185728670 204301537 371457340 408603074 817206148 1021507685 1987296769 2043015370 3974593538 4086030740 4253186543 7949187076 8506373086 9936483845 17012746172 19872967690 21265932715 21860264459 39745935380 42531865430 43720528918 46785051973 85063730860 87441057836 93570103946 109301322295 187140207892 218602644590 233925259865 437205289180 455090960101 467850519730 910181920202 935701039460 1820363840404 2275454800505 4550909601010 5006000561111 9101819202020 10012001122222 20024002244444 25030002805555 50060005611110 100120011222220