Search a number
-
+
200041002100 = 2252731371391439
BaseRepresentation
bin1011101001001101011…
…1110111010001110100
3201010100012102210210201
42322103113313101310
511234140444031400
6231521512530244
720311126314442
oct2722327672164
9633305383721
10200041002100
1177922a26735
12329293b0984
1315b2c976b84
149979715b92
15530bd7306a
hex2e935f7474

200041002100 has 144 divisors (see below), whose sum is σ = 446746406400. Its totient is φ = 77726545920.

The previous prime is 200041002097. The next prime is 200041002131. The reversal of 200041002100 is 1200140002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 139013181 + ... + 139014619.

It is an arithmetic number, because the mean of its divisors is an integer number (3102405600).

Almost surely, 2200041002100 is an apocalyptic number.

200041002100 is a gapful number since it is divisible by the number (20) 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 200041002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223373203200).

200041002100 is an abundant number, since it is smaller than the sum of its proper divisors (246705404300).

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

200041002100 is a wasteful number, since it uses less digits than its factorization.

200041002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200041002100 its reverse (1200140002), we get a palindrome (201241142102).

The spelling of 200041002100 in words is "two hundred billion, forty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 139 146 274 278 292 365 548 556 685 695 730 1370 1390 1439 1460 1825 2740 2780 2878 3425 3475 3650 5756 6850 6950 7195 7300 10001 10147 13700 13900 14390 19043 20002 20294 28780 35975 38086 40004 40588 50005 50735 71950 76172 95215 100010 101470 105047 143900 190430 197143 200020 200021 202940 210094 250025 253675 380860 394286 400042 420188 476075 500050 507350 525235 788572 800084 952150 985715 1000100 1000105 1014700 1050470 1390139 1904300 1971430 2000210 2100940 2626175 2780278 3942860 4000420 4928575 5000525 5252350 5560556 6950695 9857150 10001050 10504700 13901390 14391439 14601533 19714300 20002100 27402877 27802780 28782878 29203066 34753475 54805754 57565756 58406132 69506950 71957195 73007665 109611508 137014385 139013900 143914390 146015330 274028770 287828780 292030660 359785975 365038325 548057540 685071925 719571950 730076650 1370143850 1439143900 1460153300 2000410021 2740287700 4000820042 8001640084 10002050105 20004100210 40008200420 50010250525 100020501050 200041002100