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100110010220 = 2251123101195887
BaseRepresentation
bin101110100111100000…
…1011000011101101100
3100120101211122102220022
41131033001120131230
53120011130311340
6113553452541312
710142551022003
oct1351701303554
9316354572808
10100110010220
1139502544440
121749a781838
13959554964c
144bb98d9c3a
15290dc1a3b5
hex174f05876c

100110010220 has 96 divisors (see below), whose sum is σ = 241685047296. Its totient is φ = 34475936000.

The previous prime is 100110010207. The next prime is 100110010223. The reversal of 100110010220 is 22010011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110010198 and 100110010207.

It is not an unprimeable number, because it can be changed into a prime (100110010223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413117 + ... + 609003.

It is an arithmetic number, because the mean of its divisors is an integer number (2517552576).

Almost surely, 2100110010220 is an apocalyptic number.

100110010220 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 100110010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120842523648).

100110010220 is an abundant number, since it is smaller than the sum of its proper divisors (141575037076).

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

100110010220 is a wasteful number, since it uses less digits than its factorization.

100110010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196031 (or 196029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100110010220 its reverse (22010011001), we get a palindrome (122120021221).

The spelling of 100110010220 in words is "one hundred billion, one hundred ten million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 101 110 115 202 220 230 253 404 460 505 506 1010 1012 1111 1265 2020 2222 2323 2530 4444 4646 5060 5555 9292 11110 11615 22220 23230 25553 46460 51106 102212 127765 195887 255530 391774 511060 783548 979435 1958870 2154757 3917740 4309514 4505401 8619028 9010802 10773785 18021604 19784587 21547570 22527005 39569174 43095140 45054010 49559411 79138348 90108020 98922935 99118822 197845870 198237644 217630457 247797055 395691740 435260914 455045501 495594110 870521828 910091002 991188220 1088152285 1820182004 2176304570 2275227505 4352609140 4550455010 5005500511 9100910020 10011001022 20022002044 25027502555 50055005110 100110010220