Search a number
-
+
102233014310 = 2577125780039
BaseRepresentation
bin101111100110110010…
…0000000000000100110
3100202212210110020000102
41133031210000000212
53133333122424220
6114544252144102
710246300166210
oct1371544000046
9322783406012
10102233014310
113a3a1964879
1217991768032
13984333009b
144d3b8535b0
1529d52c8775
hex17cd900026

102233014310 has 64 divisors (see below), whose sum is σ = 214102517760. Its totient is φ = 34422743040.

The previous prime is 102233014309. The next prime is 102233014321. The reversal of 102233014310 is 13410332201.

Adding to 102233014310 its reverse (13410332201), we get a palindrome (115643346511).

It is a super-2 number, since 2×1022330143102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237271 + ... + 1317309.

It is an arithmetic number, because the mean of its divisors is an integer number (3345351840).

Almost surely, 2102233014310 is an apocalyptic number.

102233014310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102233014310 is an abundant number, since it is smaller than the sum of its proper divisors (111869503450).

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

102233014310 is a wasteful number, since it uses less digits than its factorization.

102233014310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80381.

The product of its (nonzero) digits is 432, while the sum is 20.

The spelling of 102233014310 in words is "one hundred two billion, two hundred thirty-three million, fourteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 71 142 257 355 497 514 710 994 1285 1799 2485 2570 3598 4970 8995 17990 18247 36494 80039 91235 127729 160078 182470 255458 400195 560273 638645 800390 1120546 1277290 2801365 5602730 5682769 11365538 20570023 28413845 39779383 41140046 56827690 79558766 102850115 143990161 198896915 205700230 287980322 397793830 719950805 1439901610 1460471633 2920943266 7302358165 10223301431 14604716330 20446602862 51116507155 102233014310