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100023201332 = 22292611812693
BaseRepresentation
bin101110100100111011…
…0001110111000110100
3100120011210022002111022
41131021312032320310
53114321414420312
6113541112200312
710140445116605
oct1351166167064
9316153262438
10100023201332
113946854265a
1217475699098
139580574042
144bac17ddac
1529062be172
hex1749d8ee34

100023201332 has 72 divisors (see below), whose sum is σ = 185343288312. Its totient is φ = 47215526400.

The previous prime is 100023201301. The next prime is 100023201337. The reversal of 100023201332 is 233102320001.

It can be written as a sum of positive squares in 12 ways, for example, as 75738342436 + 24284858896 = 275206^2 + 155836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100023201332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023201337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37140578 + ... + 37143270.

Almost surely, 2100023201332 is an apocalyptic number.

It is an amenable number.

100023201332 is a deficient number, since it is larger than the sum of its proper divisors (85320086980).

100023201332 is a wasteful number, since it uses less digits than its factorization.

100023201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100023201332 its reverse (233102320001), we get a palindrome (333125521333).

The spelling of 100023201332 in words is "one hundred billion, twenty-three million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 29 58 61 116 122 181 244 362 724 841 1682 1769 2693 3364 3538 5249 5386 7076 10498 10772 11041 20996 22082 44164 51301 78097 102602 152221 156194 164273 205204 304442 312388 320189 328546 487433 608884 640378 657092 974866 1280756 1949732 2264813 4529626 4763917 9059252 9285481 9527834 14135557 18570962 19055668 28271114 29733413 37141924 56542228 59466826 118933652 138153593 276307186 409931153 552614372 819862306 862268977 1639724612 1724537954 3449075908 25005800333 50011600666 100023201332