Search a number
-
+
100412451106 = 2112931113179251
BaseRepresentation
bin101110110000100001…
…1000110100100100010
3100121011220202000210121
41131201003012210202
53121121041413411
6114043455150454
710153212515602
oct1354103064442
9317156660717
10100412451106
1139648235790
1217563b1542a
1396130c0456
144c07b46c02
15292a55c571
hex17610c6922

100412451106 has 128 divisors (see below), whose sum is σ = 178711142400. Its totient is φ = 41865600000.

The previous prime is 100412451101. The next prime is 100412451151. The reversal of 100412451106 is 601154214001.

It is a super-2 number, since 2×1004124511062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100412451101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400049481 + ... + 400049731.

It is an arithmetic number, because the mean of its divisors is an integer number (1396180800).

Almost surely, 2100412451106 is an apocalyptic number.

100412451106 is a deficient number, since it is larger than the sum of its proper divisors (78298691294).

100412451106 is a wasteful number, since it uses less digits than its factorization.

100412451106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 100412451106 its reverse (601154214001), we get a palindrome (701566665107).

The spelling of 100412451106 in words is "one hundred billion, four hundred twelve million, four hundred fifty-one thousand, one hundred six".

Divisors: 1 2 11 22 29 31 58 62 113 179 226 251 319 341 358 502 638 682 899 1243 1798 1969 2486 2761 3277 3503 3938 5191 5522 5549 6554 7006 7279 7781 9889 10382 11098 14558 15562 19778 20227 28363 36047 38533 40454 44929 56726 57101 61039 72094 77066 80069 85591 89858 101587 114202 122078 160138 160921 171182 203174 222497 225649 311993 321842 444994 451298 494219 586583 623986 627037 822527 879253 988438 1117457 1173166 1254074 1302941 1392799 1645054 1758506 1770131 2234914 2482139 2605882 2785598 3540262 4964278 5076977 6452413 6897407 9047797 9671783 10153954 12904826 13794814 14332351 15320789 18095594 18184073 19343566 25498337 28664702 30641578 36368146 40391171 50996674 55846747 80782342 111693494 147232333 157386287 200024803 280481707 294464666 314772574 400049606 444302881 560963414 888605762 1619555663 1731249157 3239111326 3462498314 4564202323 9128404646 50206225553 100412451106