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102200123133 = 321729127293619
BaseRepresentation
bin101111100101110011…
…0100001111011111101
3100202210111120011210200
41133023212201323331
53133301212420013
6114541115154113
710245420466443
oct1371346417375
9322714504720
10102200123133
113a38533a189
1217982745939
139839585154
144d37330b93
1529d247ce73
hex17cb9a1efd

102200123133 has 96 divisors (see below), whose sum is σ = 163789516800. Its totient is φ = 61118281728.

The previous prime is 102200123117. The next prime is 102200123153. The reversal of 102200123133 is 331321002201.

It is not a de Polignac number, because 102200123133 - 24 = 102200123117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200123153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165104898 + ... + 165105516.

It is an arithmetic number, because the mean of its divisors is an integer number (1706140800).

Almost surely, 2102200123133 is an apocalyptic number.

It is an amenable number.

102200123133 is a deficient number, since it is larger than the sum of its proper divisors (61589393667).

102200123133 is a wasteful number, since it uses less digits than its factorization.

102200123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102200123133 its reverse (331321002201), we get a palindrome (433521125334).

The spelling of 102200123133 in words is "one hundred two billion, two hundred million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 17 29 51 87 127 153 261 293 381 493 619 879 1143 1479 1857 2159 2637 3683 4437 4981 5571 6477 8497 10523 11049 14943 17951 19431 25491 31569 33147 37211 44829 53853 62611 76473 78613 94707 111633 144449 161559 181367 187833 235839 305167 334899 433347 544101 563499 632587 707517 915501 1079119 1300041 1336421 1632303 1897761 2279777 2746503 3083239 3237357 4009263 5259643 5693283 6839331 9249717 9712071 12027789 15778929 18345023 20517993 23033609 27749151 38756209 47336787 55035069 69100827 89413931 116268627 165105207 207302481 268241793 348805881 391571353 667974661 804725379 1174714059 2003923983 3524142177 6011771949 11355569237 34066707711 102200123133