Search a number
-
+
2512322200344 = 2331131940332647
BaseRepresentation
bin100100100011110010000…
…100101000001100011000
322220011202001110012100010
4210203302010220030120
5312130213440402334
65202051143441520
7346336454232645
oct44436204501430
98804661405303
102512322200344
11889519427830
12346aa37562a0
13152bac518548
1489850402dcc
15455407c80e9
hex248f2128318

2512322200344 has 128 divisors (see below), whose sum is σ = 7073782087680. Its totient is φ = 736650460800.

The previous prime is 2512322200343. The next prime is 2512322200361. The reversal of 2512322200344 is 4430022232152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512322200343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76937829 + ... + 76970475.

It is an arithmetic number, because the mean of its divisors is an integer number (55263922560).

Almost surely, 22512322200344 is an apocalyptic number.

2512322200344 is a gapful number since it is divisible by the number (24) 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 2512322200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536891043840).

2512322200344 is an abundant number, since it is smaller than the sum of its proper divisors (4561459887336).

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

2512322200344 is a wasteful number, since it uses less digits than its factorization.

2512322200344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42101 (or 42097 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2512322200344 its reverse (4430022232152), we get a palindrome (6942344432496).

The spelling of 2512322200344 in words is "two trillion, five hundred twelve billion, three hundred twenty-two million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 9403 18806 28209 32647 37612 56418 65294 75224 97941 103433 112836 130588 195882 206866 225672 261176 291493 310299 359117 391764 413732 582986 620598 718234 783528 827464 874479 1012057 1077351 1165972 1241196 1436468 1748958 2024114 2154702 2331944 2482392 2872936 3036171 3206423 3497916 4048228 4309404 6072342 6412846 6995832 8096456 8618808 9619269 11132627 12144684 12825692 19238538 22265254 24289368 25651384 33397881 38477076 44530508 66795762 76954152 89061016 133591524 267183048 306979741 613959482 920939223 1227918964 1841878446 2455837928 3376777151 3683756892 6753554302 7367513784 9516371971 10130331453 13507108604 19032743942 20260662906 27014217208 28549115913 38065487884 40521325812 57098231826 76130975768 81042651624 104680091681 114196463652 209360183362 228392927304 314040275043 418720366724 628080550086 837440733448 1256161100172 2512322200344