Search a number
-
+
100110012212 = 22759711994289
BaseRepresentation
bin101110100111100000…
…1011000111100110100
3100120101211122112122002
41131033001120330310
53120011130342322
6113553452554432
710142551030550
oct1351701307464
9316354575562
10100110012212
1139502545991
121749a782a18
13959554a522
144bb98da860
15290dc1ac92
hex174f058f34

100110012212 has 96 divisors (see below), whose sum is σ = 207567360000. Its totient is φ = 41364449280.

The previous prime is 100110012181. The next prime is 100110012239. The reversal of 100110012212 is 212210011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110012193 and 100110012202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23338964 + ... + 23343252.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160000).

Almost surely, 2100110012212 is an apocalyptic number.

It is an amenable number.

100110012212 is an abundant number, since it is smaller than the sum of its proper divisors (107457347788).

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

100110012212 is a wasteful number, since it uses less digits than its factorization.

100110012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110012212 its reverse (212210011001), we get a palindrome (312320023213).

The spelling of 100110012212 in words is "one hundred billion, one hundred ten million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 59 71 118 142 199 236 284 398 413 497 796 826 994 1393 1652 1988 2786 4189 4289 5572 8378 8578 11741 14129 16756 17156 23482 28258 29323 30023 46964 56516 58646 60046 82187 98903 117292 120092 164374 197806 253051 304519 328748 395612 506102 609038 833611 853511 1012204 1218076 1667222 1707022 1771357 2131633 3334444 3414044 3542714 4263266 5835277 5974577 7085428 8526532 11670554 11949154 17966621 23341108 23898308 35933242 50357149 60599281 71866484 100714298 121198562 125766347 201428596 242397124 251532694 352500043 424194967 503065388 705000086 848389934 1410000172 1696779868 3575357579 7150715158 14301430316 25027503053 50055006106 100110012212