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102012303213 = 32237197163439
BaseRepresentation
bin101111100000001101…
…0000011011101101101
3100202022102010221022100
41133000122003131231
53132410122200323
6114510325405313
710240650161502
oct1370032033555
9322272127270
10102012303213
113a299316307
121792b869839
1398096a3ac2
144d1a3dd4a9
1529c0c2c943
hex17c068376d

102012303213 has 96 divisors (see below), whose sum is σ = 158858219520. Its totient is φ = 62940810240.

The previous prime is 102012303209. The next prime is 102012303221. The reversal of 102012303213 is 312303210201.

It is not a de Polignac number, because 102012303213 - 22 = 102012303209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012303713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232374048 + ... + 232374486.

It is an arithmetic number, because the mean of its divisors is an integer number (1654773120).

Almost surely, 2102012303213 is an apocalyptic number.

It is an amenable number.

102012303213 is a deficient number, since it is larger than the sum of its proper divisors (56845916307).

102012303213 is a wasteful number, since it uses less digits than its factorization.

102012303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 796 counting only the distinct ones).

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

Adding to 102012303213 its reverse (312303210201), we get a palindrome (414315513414).

The spelling of 102012303213 in words is "one hundred two billion, twelve million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 23 69 71 97 163 207 213 291 439 489 639 873 1317 1467 1633 2231 3749 3951 4899 6693 6887 10097 11247 11573 14697 15811 20079 20661 30291 31169 33741 34719 42583 47433 61983 71557 90873 93507 104157 127749 142299 158401 214671 266179 280521 363653 383247 475203 644013 716887 798537 979409 1090959 1122581 1425609 1645811 2150661 2395611 2938227 3023393 3272877 3367743 4937433 5080547 6451983 6941029 8814681 9070179 10103229 14812299 15241641 20823087 25819363 27210537 45724923 62469261 69538039 77458089 116852581 159643667 208614117 232374267 350557743 478931001 492813059 625842351 1051673229 1436793003 1478439177 4435317531 11334700357 34004101071 102012303213