Search a number
-
+
106141631022036 = 223231197482786743
BaseRepresentation
bin11000001000100100000110…
…001101101000001111010100
3111220211001002202121110112200
4120020210012031220033110
5102403011030020201121
61013424443034044500
731233323364366141
oct3010440615501724
9456731082543480
10106141631022036
113090245a672765
12baa2b61579730
13472c160c42a0c
141c2d3d4abb3c8
15c40ec2754a26
hex6089063683d4

106141631022036 has 72 divisors (see below), whose sum is σ = 278363249708544. Its totient is φ = 34065432515520.

The previous prime is 106141631021971. The next prime is 106141631022043. The reversal of 106141631022036 is 630220136141601.

106141631022036 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 416 + 3 + 10 + 220 + 3 + 6 = 666.

It is a super-2 number, since 2×1061416310220362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241173520 + ... + 241613223.

It is an arithmetic number, because the mean of its divisors is an integer number (3866156245952).

Almost surely, 2106141631022036 is an apocalyptic number.

It is an amenable number.

106141631022036 is an abundant number, since it is smaller than the sum of its proper divisors (172221618686508).

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

106141631022036 is a wasteful number, since it uses less digits than its factorization.

106141631022036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482786981 (or 482786976 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 106141631022036 its reverse (630220136141601), we get a palindrome (736361767163637).

The spelling of 106141631022036 in words is "one hundred six trillion, one hundred forty-one billion, six hundred thirty-one million, twenty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 197 279 372 394 558 591 788 1116 1182 1773 2364 3546 6107 7092 12214 18321 24428 36642 54963 73284 109926 219852 482786743 965573486 1448360229 1931146972 2896720458 4345080687 5793440916 8690161374 14966389033 17380322748 29932778066 44899167099 59865556132 89798334198 95108988371 134697501297 179596668396 190217976742 269395002594 285326965113 380435953484 538790005188 570653930226 855980895339 1141307860452 1711961790678 2948378639501 3423923581356 5896757279002 8845135918503 11793514558004 17690271837006 26535407755509 35380543674012 53070815511018 106141631022036