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201140240202 = 2371114928057
BaseRepresentation
bin1011101101010011100…
…1000111111101001010
3201020011210211220000000
42323110321013331022
511243413400141302
6232222541223430
720350304555316
oct2732471077512
9636153756000
10201140240202
1178337470580
1232b95561b76
1315c7661bb15
149a416d6b46
15537360831c
hex2ed4e47f4a

201140240202 has 128 divisors (see below), whose sum is σ = 496963296000. Its totient is φ = 60540359040.

The previous prime is 201140240183. The next prime is 201140240219. The reversal of 201140240202 is 202042041102.

201140240202 is a `hidden beast` number, since 20 + 1 + 1 + 402 + 40 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7154958 + ... + 7183014.

It is an arithmetic number, because the mean of its divisors is an integer number (3882525750).

Almost surely, 2201140240202 is an apocalyptic number.

201140240202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201140240202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248481648000).

201140240202 is an abundant number, since it is smaller than the sum of its proper divisors (295823055798).

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

201140240202 is a wasteful number, since it uses less digits than its factorization.

201140240202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28240 (or 28222 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201140240202 its reverse (202042041102), we get a palindrome (403182281304).

Subtracting 201140240202 from its reverse (202042041102), we obtain a square (901800900 = 300302).

The spelling of 201140240202 in words is "two hundred one billion, one hundred forty million, two hundred forty thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 149 162 198 243 297 298 447 486 594 729 891 894 1341 1458 1639 1782 2187 2673 2682 3278 4023 4374 4917 5346 8019 8046 9834 12069 14751 16038 24057 24138 28057 29502 36207 44253 48114 56114 72414 84171 88506 108621 132759 168342 217242 252513 265518 308627 325863 398277 505026 617254 651726 757539 796554 925881 1194831 1515078 1851762 2272617 2389662 2777643 3584493 4180493 4545234 5555286 6817851 7168986 8332929 8360986 12541479 13635702 16665858 20453553 24998787 25082958 37624437 40907106 45985423 49997574 61360659 74996361 75248874 91970846 112873311 122721318 137956269 149992722 224989083 225746622 275912538 338619933 413868807 449978166 674967249 677239866 827737614 1015859799 1241606421 1349934498 2031719598 2483212842 3047579397 3724819263 6095158794 7449638526 9142738191 11174457789 18285476382 22348915578 33523373367 67046746734 100570120101 201140240202