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202113433140 = 223537190747741
BaseRepresentation
bin1011110000111011100…
…1100011111000110100
3201022200122002012201220
42330032321203320310
511302412014330030
6232503304150340
720413362556443
oct2741671437064
9638618065656
10202113433140
1178796844863
12332074683b0
13160a0131428
149ad4a66d5a
1553cdc91a10
hex2f0ee63e34

202113433140 has 96 divisors (see below), whose sum is σ = 581529642624. Its totient is φ = 52411645440.

The previous prime is 202113433129. The next prime is 202113433163. The reversal of 202113433140 is 41334311202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202113433140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209670 + ... + 4257410.

It is an arithmetic number, because the mean of its divisors is an integer number (6057600444).

Almost surely, 2202113433140 is an apocalyptic number.

202113433140 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 202113433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290764821312).

202113433140 is an abundant number, since it is smaller than the sum of its proper divisors (379416209484).

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

202113433140 is a wasteful number, since it uses less digits than its factorization.

202113433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49697 (or 49695 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202113433140 its reverse (41334311202), we get a palindrome (243447744342).

The spelling of 202113433140 in words is "two hundred two billion, one hundred thirteen million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1907 2220 3814 5721 7628 9535 11442 19070 22884 28605 38140 47741 57210 70559 95482 114420 141118 143223 190964 211677 238705 282236 286446 352795 423354 477410 572892 705590 716115 846708 954820 1058385 1411180 1432230 1766417 2116770 2864460 3532834 4233540 5299251 7065668 8832085 10598502 17664170 21197004 26496255 35328340 52992510 91042087 105985020 182084174 273126261 364168348 455210435 546252522 910420870 1092505044 1365631305 1820841740 2731262610 3368557219 5462525220 6737114438 10105671657 13474228876 16842786095 20211343314 33685572190 40422686628 50528358285 67371144380 101056716570 202113433140