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100230000220 = 22577949118457
BaseRepresentation
bin101110101011000101…
…1000110111001011100
3100120201012102120020101
41131112023012321130
53120232340001340
6114013420430444
710145535642040
oct1352613067134
9316635376211
10100230000220
1139564249729
12175129a8424
1395b436bb4c
144bcb812020
15291951cc9a
hex17562c6e5c

100230000220 has 96 divisors (see below), whose sum is σ = 244106311680. Its totient is φ = 33858639360.

The previous prime is 100230000179. The next prime is 100230000229. The reversal of 100230000220 is 22000032001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100230000197 and 100230000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230000229) 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, 5421232 + ... + 5439688.

It is an arithmetic number, because the mean of its divisors is an integer number (2542774080).

Almost surely, 2100230000220 is an apocalyptic number.

100230000220 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 100230000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122053155840).

100230000220 is an abundant number, since it is smaller than the sum of its proper divisors (143876311460).

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

100230000220 is a wasteful number, since it uses less digits than its factorization.

100230000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19043 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 100230000220 its reverse (22000032001), we get a palindrome (122230032221).

The spelling of 100230000220 in words is "one hundred billion, two hundred thirty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 491 553 790 982 1106 1580 1964 2212 2455 2765 3437 4910 5530 6874 9820 11060 13748 17185 18457 34370 36914 38789 68740 73828 77578 92285 129199 155156 184570 193945 258398 271523 369140 387890 516796 543046 645995 775780 1086092 1291990 1357615 1458103 2583980 2715230 2916206 5430460 5832412 7290515 9062387 10206721 14581030 18124774 20413442 29162060 36249548 40826884 45311935 51033605 63436709 90623870 102067210 126873418 181247740 204134420 253746836 317183545 634367090 715928573 1268734180 1431857146 2863714292 3579642865 5011500011 7159285730 10023000022 14318571460 20046000044 25057500055 50115000110 100230000220