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230103209973 = 372138312711423
BaseRepresentation
bin1101011001001100111…
…0000101011111110101
3210222221021210012100010
43112103032011133311
512232222410204343
6253412530210433
722424113004400
oct3262316053765
9728837705303
10230103209973
118964a29942a
1238719123a19
1318910bacb60
14b1cc114d37
155ebb188d33
hex35933857f5

230103209973 has 96 divisors (see below), whose sum is σ = 392076066816. Its totient is φ = 118956200832.

The previous prime is 230103209971. The next prime is 230103210101. The reversal of 230103209973 is 379902301032.

It is not a de Polignac number, because 230103209973 - 21 = 230103209971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230103209971) 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, 20138140 + ... + 20149562.

It is an arithmetic number, because the mean of its divisors is an integer number (4084125696).

Almost surely, 2230103209973 is an apocalyptic number.

It is an amenable number.

230103209973 is a deficient number, since it is larger than the sum of its proper divisors (161972856843).

230103209973 is a wasteful number, since it uses less digits than its factorization.

230103209973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11663 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The spelling of 230103209973 in words is "two hundred thirty billion, one hundred three million, two hundred nine thousand, nine hundred seventy-three".

Divisors: 1 3 7 13 21 39 49 83 91 127 147 249 273 381 581 637 889 1079 1651 1743 1911 2667 3237 4067 4953 6223 7553 10541 11423 11557 12201 18669 22659 31623 34269 34671 52871 73787 79961 80899 137033 148499 158613 221361 239883 242697 411099 445497 516509 559727 948109 959231 1039493 1450721 1549527 1679181 2844327 2877693 3118479 4352163 6636763 6714617 7276451 10155047 12325417 18859373 19910289 20143851 21829353 30465141 36976251 46457341 56578119 71085329 86277919 120409843 132015611 139372023 213255987 258833757 361229529 396046833 603945433 842868901 924109277 1565327959 1811836299 2528606703 2772327831 4695983877 5900082307 10957295713 17700246921 32871887139 76701069991 230103209973