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103222214312 = 23737115343207
BaseRepresentation
bin110000000100010000…
…1011111111010101000
3100212102201210210022112
41200020201133322220
53142344341324222
6115230350141452
710312641226220
oct1401041377250
9325381723275
10103222214312
113a85a281438
1218008ab1888
139970258529
144dd2d8d080
152a42074be2
hex180885fea8

103222214312 has 64 divisors (see below), whose sum is σ = 227370865920. Its totient is φ = 43004141568.

The previous prime is 103222214243. The next prime is 103222214317. The reversal of 103222214312 is 213412222301.

It is not an unprimeable number, because it can be changed into a prime (103222214317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367413 + ... + 2410619.

It is an arithmetic number, because the mean of its divisors is an integer number (3552669780).

Almost surely, 2103222214312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103222214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113685432960).

103222214312 is an abundant number, since it is smaller than the sum of its proper divisors (124148651608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103222214312 is a wasteful number, since it uses less digits than its factorization.

103222214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44410 (or 44406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 103222214312 its reverse (213412222301), we get a palindrome (316634436613).

The spelling of 103222214312 in words is "one hundred three billion, two hundred twenty-two million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1153 2072 2306 4612 8071 9224 16142 32284 42661 43207 64568 85322 86414 170644 172828 298627 302449 341288 345656 597254 604898 1194508 1209796 1598659 2389016 2419592 3197318 6394636 11190613 12789272 22381226 44762452 49817671 89524904 99635342 199270684 348723697 398541368 697447394 1394894788 1843253827 2789789576 3686507654 7373015308 12902776789 14746030616 25805553578 51611107156 103222214312