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101106050496 = 2631179605977
BaseRepresentation
bin101111000101001100…
…0111110010111000000
3100122222020212112021220
41132022120332113000
53124031122103441
6114240353315040
710206334151343
oct1361230762700
9318866775256
10101106050496
1139973803220
1217718265a80
1396c39cb3a9
144c71cd645a
15296b3b8466
hex178a63e5c0

101106050496 has 112 divisors (see below), whose sum is σ = 295523351040. Its totient is φ = 30250321920.

The previous prime is 101106050473. The next prime is 101106050527. The reversal of 101106050496 is 694050601101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136141 + ... + 469836.

Almost surely, 2101106050496 is an apocalyptic number.

101106050496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101106050496 is an abundant number, since it is smaller than the sum of its proper divisors (194417300544).

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

101106050496 is a wasteful number, since it uses less digits than its factorization.

101106050496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606082 (or 606072 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 101106050496 its reverse (694050601101), we get a palindrome (795156651597).

It can be divided in two parts, 10110 and 6050496, that added together give a palindrome (6060606).

The spelling of 101106050496 in words is "one hundred one billion, one hundred six million, fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 158 176 192 237 264 316 352 474 528 632 704 869 948 1056 1264 1738 1896 2112 2528 2607 3476 3792 5056 5214 6952 7584 10428 13904 15168 20856 27808 41712 55616 83424 166848 605977 1211954 1817931 2423908 3635862 4847816 6665747 7271724 9695632 13331494 14543448 19391264 19997241 26662988 29086896 38782528 39994482 47872183 53325976 58173792 79988964 95744366 106651952 116347584 143616549 159977928 191488732 213303904 287233098 319955856 382977464 426607808 526594013 574466196 639911712 765954928 1053188026 1148932392 1279823424 1531909856 1579782039 2106376052 2297864784 3063819712 3159564078 4212752104 4595729568 6319128156 8425504208 9191459136 12638256312 16851008416 25276512624 33702016832 50553025248 101106050496