Search a number
-
+
2100200021192 = 237137341119613
BaseRepresentation
bin11110100011111101101…
…011010001110011001000
321102202222112212022201002
4132203331223101303020
5233402202201134232
64244452451114132
7304506625426520
oct36437553216310
97382875768632
102100200021192
1173a765183859
1229b0488a2948
13123081637940
14739162da680
153996ea77b62
hex1e8fdad1cc8

2100200021192 has 128 divisors (see below), whose sum is σ = 4914713717760. Its totient is φ = 819182315520.

The previous prime is 2100200021147. The next prime is 2100200021197. The reversal of 2100200021192 is 2911200020012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2100200021197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218470178 + ... + 218479790.

It is an arithmetic number, because the mean of its divisors is an integer number (38396200920).

Almost surely, 22100200021192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100200021192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457356858880).

2100200021192 is an abundant number, since it is smaller than the sum of its proper divisors (2814513696568).

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

2100200021192 is a wasteful number, since it uses less digits than its factorization.

2100200021192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2100200021192 in words is "two trillion, one hundred billion, two hundred million, twenty-one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1898 2044 3796 4088 4111 6643 7592 8222 9613 13286 16444 19226 26572 28777 32888 38452 53144 53443 57554 67291 76904 106886 115108 124969 134582 213772 230216 249938 269164 300103 374101 427544 499876 538328 600206 701749 748202 874783 999752 1200412 1403498 1496404 1749566 2100721 2400824 2806996 2992808 3499132 3901339 4201442 4912243 5613992 6998264 7802678 8402884 9122737 9824486 15605356 16805768 18245474 19648972 27309373 31210712 36490948 39297944 39519043 54618746 63859159 72981896 79038086 109237492 127718318 158076172 218474984 255436636 276633301 316152344 510873272 513747559 553266602 1027495118 1106533204 2054990236 2213066408 2884890139 3596232913 4109980472 5769780278 7192465826 11539560556 14384931652 20194230973 23079121112 28769863304 37503571807 40388461946 75007143614 80776923892 150014287228 161553847784 262525002649 300028574456 525050005298 1050100010596 2100200021192