Search a number
-
+
122131312255400 = 23527313278711347
BaseRepresentation
bin11011110001001111101001…
…011110111010000110101000
3121000102122021010210121112012
4123301033221132322012220
5112001444411414133100
61111430203355135052
734503460525352120
oct3361175136720650
9530378233717465
10122131312255400
1135a076648a2018
1211845a49444488
13531bc196a1b46
1422232893b9c80
15e1bdb07a8135
hex6f13e97ba1a8

122131312255400 has 96 divisors (see below), whose sum is σ = 325557151371840. Its totient is φ = 41739811176960.

The previous prime is 122131312255373. The next prime is 122131312255417. The reversal of 122131312255400 is 4552213131221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138917474 + ... + 139793873.

It is an arithmetic number, because the mean of its divisors is an integer number (3391220326790).

Almost surely, 2122131312255400 is an apocalyptic number.

122131312255400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131312255400 is an abundant number, since it is smaller than the sum of its proper divisors (203425839116440).

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

122131312255400 is a wasteful number, since it uses less digits than its factorization.

122131312255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278711683 (or 278711674 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 122131312255400 its reverse (4552213131221), we get a palindrome (126683525386621).

The spelling of 122131312255400 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twelve million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 313 350 626 700 1252 1400 1565 2191 2504 3130 4382 6260 7825 8764 10955 12520 15650 17528 21910 31300 43820 54775 62600 87640 109550 219100 438200 278711347 557422694 1114845388 1393556735 1950979429 2229690776 2787113470 3901958858 5574226940 6967783675 7803917716 9754897145 11148453880 13935567350 15607835432 19509794290 27871134700 39019588580 48774485725 55742269400 78039177160 87236651611 97548971450 174473303222 195097942900 348946606444 390195885800 436183258055 610656561277 697893212888 872366516110 1221313122554 1744733032220 2180916290275 2442626245108 3053282806385 3489466064440 4361832580550 4885252490216 6106565612770 8723665161100 12213131225540 15266414031925 17447330322200 24426262451080 30532828063850 61065656127700 122131312255400