Search a number
-
+
100273213664 = 2513718340903
BaseRepresentation
bin101110101100010111…
…1111101000011100000
3100120211012202000221022
41131120233331003200
53120324420314124
6114022002545012
710146602152541
oct1353057750340
9316735660838
10100273213664
1139586684618
1217525368168
1395c02bc230
144bd34604c8
15291d206c5e
hex1758bfd0e0

100273213664 has 96 divisors (see below), whose sum is σ = 218195679744. Its totient is φ = 45077276160.

The previous prime is 100273213639. The next prime is 100273213669. The reversal of 100273213664 is 466312372001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100273213669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431037 + ... + 2471939.

It is an arithmetic number, because the mean of its divisors is an integer number (2272871664).

Almost surely, 2100273213664 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 100273213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109097839872).

100273213664 is an abundant number, since it is smaller than the sum of its proper divisors (117922466080).

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

100273213664 is a wasteful number, since it uses less digits than its factorization.

100273213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41080 (or 41072 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 100273213664 its reverse (466312372001), we get a palindrome (566585585665).

The spelling of 100273213664 in words is "one hundred billion, two hundred seventy-three million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 71 83 104 142 166 208 284 332 416 568 664 923 1079 1136 1328 1846 2158 2272 2656 3692 4316 5893 7384 8632 11786 14768 17264 23572 29536 34528 40903 47144 76609 81806 94288 153218 163612 188576 306436 327224 531739 612872 654448 1063478 1225744 1308896 2126956 2451488 2904113 3394949 4253912 5808226 6789898 8507824 11616452 13579796 17015648 23232904 27159592 37753469 44134337 46465808 54319184 75506938 88268674 92931616 108638368 151013876 176537348 241041379 302027752 353074696 482082758 604055504 706149392 964165516 1208111008 1412298784 1928331032 3133537927 3856662064 6267075854 7713324128 12534151708 25068303416 50136606832 100273213664