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1312131222 = 2321937971069
BaseRepresentation
bin100111000110101…
…1000100010010110
310101110000011122200
41032031120202112
510141401144342
6334111305330
744341634313
oct11615304226
93343004580
101312131222
11613733676
1230751b246
1317bac490c
14c639bd0a
157a2d994c
hex4e358896

1312131222 has 96 divisors (see below), whose sum is σ = 3108050400. Its totient is φ = 398628864.

The previous prime is 1312131217. The next prime is 1312131257. The reversal of 1312131222 is 2221312131.

1312131222 is a `hidden beast` number, since 1 + 312 + 131 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312131195 and 1312131204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226904 + ... + 1227972.

It is an arithmetic number, because the mean of its divisors is an integer number (32375525).

Almost surely, 21312131222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312131222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554025200).

1312131222 is an abundant number, since it is smaller than the sum of its proper divisors (1795919178).

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

1312131222 is a wasteful number, since it uses less digits than its factorization.

1312131222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1227 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1312131222 is about 36223.3518879741. The cubic root of 1312131222 is about 1094.7772312198. Note that the first 3 decimals are identical.

Adding to 1312131222 its reverse (2221312131), we get a palindrome (3533443353).

The spelling of 1312131222 in words is "one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 97 111 114 171 194 222 291 333 342 582 666 703 873 1069 1406 1746 1843 2109 2138 3207 3589 3686 4218 5529 6327 6414 7178 9621 10767 11058 12654 16587 19242 20311 21534 32301 33174 39553 40622 60933 64602 68191 79106 103693 118659 121866 136382 182799 204573 207386 237318 311079 355977 365598 409146 613719 622158 711954 751507 933237 1227438 1503014 1866474 1970167 2254521 3836641 3940334 4509042 5910501 6763563 7673282 11509923 11821002 13527126 17731503 23019846 34529769 35463006 69059538 72896179 145792358 218688537 437377074 656065611 1312131222