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100144002334 = 22353673071997
BaseRepresentation
bin101110101000100001…
…1000011010100011110
3100120111012121102022111
41131101003003110132
53120043331033314
6114001105304234
710143442655245
oct1352103032436
9316435542274
10100144002334
113951a7511a2
12174aa03507a
13959c5bb71c
144bc022795c
152911bd1ec4
hex17510c351e

100144002334 has 64 divisors (see below), whose sum is σ = 162697683456. Its totient is φ = 46116031104.

The previous prime is 100144002251. The next prime is 100144002337. The reversal of 100144002334 is 433200441001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144002337) 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 31 ways as a sum of consecutive naturals, for example, 50146224 + ... + 50148220.

It is an arithmetic number, because the mean of its divisors is an integer number (2542151304).

Almost surely, 2100144002334 is an apocalyptic number.

100144002334 is a deficient number, since it is larger than the sum of its proper divisors (62553681122).

100144002334 is a wasteful number, since it uses less digits than its factorization.

100144002334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100144002334 its reverse (433200441001), we get a palindrome (533344443335).

The spelling of 100144002334 in words is "one hundred billion, one hundred forty-four million, two thousand, three hundred thirty-four".

Divisors: 1 2 23 46 53 67 106 134 307 614 1219 1541 1997 2438 3082 3551 3994 7061 7102 14122 16271 20569 32542 41138 45931 81673 91862 105841 133799 163346 211682 267598 374233 473087 613079 748466 946174 1090157 1226158 2180314 2434343 3077377 4868686 6154754 7091347 14100817 14182694 25073611 28201634 32493187 41076293 50147222 64986374 82152586 163100981 326201962 747343301 944754739 1494686602 1889509478 2177043529 4354087058 50072001167 100144002334