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102214024192 = 210759241691
BaseRepresentation
bin101111100110001101…
…1100011110000000000
3100202211110201102110201
41133030123203300000
53133313242233232
6114542333134544
710245646604350
oct1371433436000
9322743642421
10102214024192
113a392174265
121798732a454
13983c411527
144d3910cb60
1529d37c6be7
hex17cc6e3c00

102214024192 has 88 divisors (see below), whose sum is σ = 237476891520. Its totient is φ = 43063357440.

The previous prime is 102214024111. The next prime is 102214024193. The reversal of 102214024192 is 291420412201.

It is a super-2 number, since 2×1022140241922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102214024192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214024193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302067 + ... + 543757.

It is an arithmetic number, because the mean of its divisors is an integer number (2698601040).

Almost surely, 2102214024192 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 102214024192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118738445760).

102214024192 is an abundant number, since it is smaller than the sum of its proper divisors (135262867328).

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

102214024192 is an equidigital number, since it uses as much as digits as its factorization.

102214024192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241777 (or 241759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 102214024192 its reverse (291420412201), we get a palindrome (393634436393).

The spelling of 102214024192 in words is "one hundred two billion, two hundred fourteen million, twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 512 826 896 944 1024 1652 1792 1888 3304 3584 3776 6608 7168 7552 13216 15104 26432 30208 52864 60416 105728 211456 241691 422912 483382 966764 1691837 1933528 3383674 3867056 6767348 7734112 13534696 14259769 15468224 27069392 28519538 30936448 54138784 57039076 61872896 99818383 108277568 114078152 123745792 199636766 216555136 228156304 247491584 399273532 433110272 456312608 798547064 866220544 912625216 1597094128 1732441088 1825250432 3194188256 3650500864 6388376512 7301001728 12776753024 14602003456 25553506048 51107012096 102214024192