Search a number
-
+
201002202120 = 23351739682187
BaseRepresentation
bin1011101100110010101…
…0100011010000001000
3201012211012002211100110
42323030222203100020
511243123030431440
6232201130434320
720344010346036
oct2731452432010
9635735084313
10201002202120
1178276559515
1232b572929a0
1315c53b4a795
149a2b243556
15536643d080
hex2eccaa3408

201002202120 has 64 divisors (see below), whose sum is σ = 606492256320. Its totient is φ = 53290751744.

The previous prime is 201002202119. The next prime is 201002202179. The reversal of 201002202120 is 21202200102.

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 = 201002202096 and 201002202105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4820334 + ... + 4861853.

It is an arithmetic number, because the mean of its divisors is an integer number (9476441505).

Almost surely, 2201002202120 is an apocalyptic number.

201002202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002202120 is an abundant number, since it is smaller than the sum of its proper divisors (405490054200).

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

201002202120 is a wasteful number, since it uses less digits than its factorization.

201002202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682374 (or 9682370 counting only the distinct ones).

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

Adding to 201002202120 its reverse (21202200102), we get a palindrome (222204402222).

The spelling of 201002202120 in words is "two hundred one billion, two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 20760 9682187 19364374 29046561 38728748 48410935 58093122 77457496 96821870 116186244 145232805 193643740 232372488 290465610 387287480 580931220 1161862440 1675018351 3350036702 5025055053 6700073404 8375091755 10050110106 13400146808 16750183510 20100220212 25125275265 33500367020 40200440424 50250550530 67000734040 100501101060 201002202120