Search a number
-
+
100210022220210 = 23572673310124771
BaseRepresentation
bin10110110010001111110110…
…110001110000000110110010
3111010210222120202011202022020
4112302033312301300012302
5101113320111142021320
6553043503151452310
730051635524435200
oct2662176661600662
9433728522152266
10100210022220210
1129a259170897a1
12b2a5459827096
1343bb9c2932426
141aa6295d9c070
15b8ba5ca40940
hex5b23f6c701b2

100210022220210 has 96 divisors (see below), whose sum is σ = 279811600915392. Its totient is φ = 22901743751040.

The previous prime is 100210022220173. The next prime is 100210022220223. The reversal of 100210022220210 is 12022220012001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100210022220210.

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, 4835125 + ... + 14959895.

It is an arithmetic number, because the mean of its divisors is an integer number (2914704176202).

Almost surely, 2100210022220210 is an apocalyptic number.

100210022220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210022220210 is an abundant number, since it is smaller than the sum of its proper divisors (179601578695182).

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

100210022220210 is a wasteful number, since it uses less digits than its factorization.

100210022220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131528 (or 10131521 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100210022220210 its reverse (12022220012001), we get a palindrome (112232242232211).

The spelling of 100210022220210 in words is "one hundred trillion, two hundred ten billion, twenty-two million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 6733 13466 20199 33665 40398 47131 67330 94262 100995 141393 201990 235655 282786 329917 471310 659834 706965 989751 1413930 1649585 1979502 3299170 4948755 9897510 10124771 20249542 30374313 50623855 60748626 70873397 101247710 141746794 151871565 212620191 303743130 354366985 425240382 496113779 708733970 992227558 1063100955 1488341337 2126201910 2480568895 2976682674 4961137790 7441706685 14883413370 68170083143 136340166286 204510249429 340850415715 409020498858 477190582001 681700831430 954381164002 1022551247145 1431571746003 2045102494290 2385952910005 2863143492006 3340334074007 4771905820010 6680668148014 7157858730015 10021002222021 14315717460030 16701670370035 20042004444042 33403340740070 50105011110105 100210022220210