Search a number
-
+
312000122334340 = 225112415884574167
BaseRepresentation
bin100011011110000110011000…
…0011101100010110010000100
31111220200220211222012220211001
41012330030300131202302010
5311343302222304144330
63023322513312223044
7122501156612355346
oct10674146035426204
91456626758186731
10312000122334340
119045a56625a990
122abab86983aa84
1310512640257c8b
145708c5a77b296
152610c8c3969ca
hex11bc330762c84

312000122334340 has 48 divisors (see below), whose sum is σ = 717729742122624. Its totient is φ = 112983823987200.

The previous prime is 312000122334311. The next prime is 312000122334377. The reversal of 312000122334340 is 43433221000213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312000122334299 and 312000122334308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2942234064 + ... + 2942340103.

It is an arithmetic number, because the mean of its divisors is an integer number (14952702960888).

Almost surely, 2312000122334340 is an apocalyptic number.

It is an amenable number.

312000122334340 is an abundant number, since it is smaller than the sum of its proper divisors (405729619788284).

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

312000122334340 is a wasteful number, since it uses less digits than its factorization.

312000122334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884574428 (or 5884574426 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312000122334340 its reverse (43433221000213), we get a palindrome (355433343334553).

The spelling of 312000122334340 in words is "three hundred twelve trillion, one hundred twenty-two million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4820 5302 10604 13255 26510 53020 5884574167 11769148334 23538296668 29422870835 58845741670 64730315837 117691483340 129460631674 258921263348 323651579185 647303158370 1294606316740 1418182374247 2836364748494 5672729496988 7090911871235 14181823742470 15600006116717 28363647484940 31200012233434 62400024466868 78000030583585 156000061167170 312000122334340