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10100201220 = 22325199281971
BaseRepresentation
bin10010110100000010…
…01101011100000100
3222001220022101100200
421122001031130010
5131141122414340
64350122210500
7505202202534
oct113201153404
928056271320
1010100201220
11431333373a
121b5a653a30
13c4c6a1735
146bb5a74c4
153e1aa2330
hex25a04d704

10100201220 has 72 divisors (see below), whose sum is σ = 30791342400. Its totient is φ = 2679842880.

The previous prime is 10100201219. The next prime is 10100201227. The reversal of 10100201220 is 2210200101.

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

It is not an unprimeable number, because it can be changed into a prime (10100201227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105166 + ... + 176805.

Almost surely, 210100201220 is an apocalyptic number.

10100201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201220 is an abundant number, since it is smaller than the sum of its proper divisors (20691141180).

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

10100201220 is a wasteful number, since it uses less digits than its factorization.

10100201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282185 (or 282180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100201220 its reverse (2210200101), we get a palindrome (12310401321).

The spelling of 10100201220 in words is "ten billion, one hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2985 3582 3980 5970 7164 8955 11940 17910 35820 281971 563942 845913 1127884 1409855 1691826 2537739 2819710 3383652 4229565 5075478 5639420 8459130 10150956 12688695 16918260 25377390 50754780 56112229 112224458 168336687 224448916 280561145 336673374 505010061 561122290 673346748 841683435 1010020122 1122244580 1683366870 2020040244 2525050305 3366733740 5050100610 10100201220