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2314020122320 = 2451014875411087
BaseRepresentation
bin100001101011000110010…
…110001110111011010000
322012012220001002212220211
4201223012112032323100
5300403103122403240
64531013550013504
7326116401334534
oct41530626167320
98165801085824
102314020122320
1181240903a535
123145807a7294
1313a298bc8b3a
147dddba25bc4
15402d6446bea
hex21ac658eed0

2314020122320 has 160 divisors (see below), whose sum is σ = 5459603705856. Its totient is φ = 912031488000.

The previous prime is 2314020122317. The next prime is 2314020122387. The reversal of 2314020122320 is 232210204132.

It is a junction number, because it is equal to n+sod(n) for n = 2314020122291 and 2314020122300.

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, 2128812817 + ... + 2128813903.

Almost surely, 22314020122320 is an apocalyptic number.

2314020122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314020122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729801852928).

2314020122320 is an abundant number, since it is smaller than the sum of its proper divisors (3145583583536).

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

2314020122320 is a wasteful number, since it uses less digits than its factorization.

2314020122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2314020122320 its reverse (232210204132), we get a palindrome (2546230326452).

The spelling of 2314020122320 in words is "two trillion, three hundred fourteen billion, twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 487 505 541 808 974 1010 1082 1087 1616 1948 2020 2164 2174 2435 2705 3896 4040 4328 4348 4870 5410 5435 7792 8080 8656 8696 9740 10820 10870 17392 19480 21640 21740 38960 43280 43480 49187 54641 86960 98374 109282 109787 196748 218564 219574 245935 263467 273205 393496 437128 439148 491870 526934 529369 546410 548935 588067 786992 874256 878296 983740 1053868 1058738 1092820 1097870 1176134 1317335 1756592 1967480 2107736 2117476 2185640 2195740 2352268 2634670 2646845 2940335 3934960 4215472 4234952 4371280 4391480 4704536 5269340 5293690 5880670 8469904 8782960 9409072 10538680 10587380 11761340 21077360 21174760 23522680 26610167 42349520 47045360 53220334 53466269 59394767 106440668 106932538 118789534 133050835 212881336 213865076 237579068 266101670 267331345 286388629 296973835 425762672 427730152 475158136 532203340 534662690 572777258 593947670 855460304 950316272 1064406680 1069325380 1145554516 1187895340 1431943145 2128813360 2138650760 2291109032 2375790680 2863886290 4277301520 4582218064 4751581360 5727772580 11455545160 22911090320 28925251529 57850503058 115701006116 144626257645 231402012232 289252515290 462804024464 578505030580 1157010061160 2314020122320