Search a number
-
+
102000101220 = 2232519106328057
BaseRepresentation
bin101111011111110101…
…1100000011101100100
3100202021120012000022200
41132333223200131210
53132344011214340
6114505212054500
710240441361253
oct1367753403544
9322246160280
10102000101220
113a292441816
1217927764430
139806cc0ba4
144d1894479a
1529beb1c330
hex17bfae0764

102000101220 has 144 divisors (see below), whose sum is σ = 326002535040. Its totient is φ = 25743287808.

The previous prime is 102000101213. The next prime is 102000101261. The reversal of 102000101220 is 22101000201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3621432 + ... + 3649488.

Almost surely, 2102000101220 is an apocalyptic number.

102000101220 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 102000101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163001267520).

102000101220 is an abundant number, since it is smaller than the sum of its proper divisors (224002433820).

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

102000101220 is a wasteful number, since it uses less digits than its factorization.

102000101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29154 (or 29149 counting only the distinct ones).

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

Adding to 102000101220 its reverse (22101000201), we get a palindrome (124101101421).

The spelling of 102000101220 in words is "one hundred two billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1063 1140 1710 2126 3189 3420 4252 5315 6378 9567 10630 12756 15945 19134 20197 21260 28057 31890 38268 40394 47835 56114 60591 63780 80788 84171 95670 100985 112228 121182 140285 168342 181773 191340 201970 242364 252513 280570 302955 336684 363546 403940 420855 505026 533083 561140 605910 727092 841710 908865 1010052 1066166 1211820 1262565 1599249 1683420 1817730 2132332 2525130 2665415 3198498 3635460 4797747 5050260 5330830 6396996 7996245 9595494 10661660 15992490 19190988 23988735 29824591 31984980 47977470 59649182 89473773 95954940 119298364 149122955 178947546 268421319 298245910 357895092 447368865 536842638 566667229 596491820 894737730 1073685276 1133334458 1342106595 1700001687 1789475460 2266668916 2684213190 2833336145 3400003374 5100005061 5368426380 5666672290 6800006748 8500008435 10200010122 11333344580 17000016870 20400020244 25500025305 34000033740 51000050610 102000101220