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101200202220 = 223513731777313
BaseRepresentation
bin101111001000000000…
…0001000100111101100
3100200012211000221011210
41132100000020213230
53124224222432340
6114253555314420
710211556345225
oct1362000104754
9320184027153
10101200202220
1139a1196a867
12177438aba10
13970a374c80
144c8060424c
1529747b5180
hex17900089ec

101200202220 has 96 divisors (see below), whose sum is σ = 309337947072. Its totient is φ = 24569561088.

The previous prime is 101200202183. The next prime is 101200202269. The reversal of 101200202220 is 22202002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101200202196 and 101200202205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831717 + ... + 945596.

It is an arithmetic number, because the mean of its divisors is an integer number (3222270282).

Almost surely, 2101200202220 is an apocalyptic number.

101200202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200202220 is an abundant number, since it is smaller than the sum of its proper divisors (208137744852).

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

101200202220 is a wasteful number, since it uses less digits than its factorization.

101200202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777411 (or 1777409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101200202220 its reverse (22202002101), we get a palindrome (123402204321).

The spelling of 101200202220 in words is "one hundred one billion, two hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 73 78 130 146 156 195 219 260 292 365 390 438 730 780 876 949 1095 1460 1898 2190 2847 3796 4380 4745 5694 9490 11388 14235 18980 28470 56940 1777313 3554626 5331939 7109252 8886565 10663878 17773130 21327756 23105069 26659695 35546260 46210138 53319390 69315207 92420276 106638780 115525345 129743849 138630414 231050690 259487698 277260828 346576035 389231547 462101380 518975396 648719245 693152070 778463094 1297438490 1386304140 1556926188 1686670037 1946157735 2594876980 3373340074 3892315470 5060010111 6746680148 7784630940 8433350185 10120020222 16866700370 20240040444 25300050555 33733400740 50600101110 101200202220