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1312100310120 = 233529983938321
BaseRepresentation
bin10011000101111111010…
…001011101110001101000
311122102202112012220012020
4103011333101131301220
5132444140134410440
62442434235144440
7163540032421425
oct23057721356150
94572675186166
101312100310120
11466505467296
121923638a5120
1396965c80962
1447712638d4c
15241e63ac3d0
hex1317f45dc68

1312100310120 has 128 divisors (see below), whose sum is σ = 4072555584000. Its totient is φ = 337784975360.

The previous prime is 1312100310119. The next prime is 1312100310127. The reversal of 1312100310120 is 210130012131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312100310120.

It is not an unprimeable number, because it can be changed into a prime (1312100310127) 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, 34220560 + ... + 34258880.

It is an arithmetic number, because the mean of its divisors is an integer number (31816840500).

Almost surely, 21312100310120 is an apocalyptic number.

1312100310120 is a gapful number since it is divisible by the number (10) 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 1312100310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036277792000).

1312100310120 is an abundant number, since it is smaller than the sum of its proper divisors (2760455273880).

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

1312100310120 is a wasteful number, since it uses less digits than its factorization.

1312100310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48203 (or 48199 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1312100310120 its reverse (210130012131), we get a palindrome (1522230322251).

The spelling of 1312100310120 in words is "one trillion, three hundred twelve billion, one hundred million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 9839 19678 29517 38321 39356 49195 59034 76642 78712 98390 114963 118068 147585 153284 191605 196780 229926 236136 285331 295170 306568 383210 393560 459852 570662 574815 590340 766420 855993 919704 1111309 1141324 1149630 1180680 1426655 1532840 1711986 2222618 2282648 2299260 2853310 3333927 3423972 4279965 4445236 4598520 5556545 5706620 6667854 6847944 8559930 8890472 11113090 11413240 13335708 16669635 17119860 22226180 26671416 33339270 34239720 44452360 66678540 133357080 377040319 754080638 1131120957 1508161276 1885201595 2262241914 3016322552 3770403190 4524483828 5655604785 7540806380 9048967656 10934169251 11311209570 15081612760 21868338502 22622419140 32802507753 43736677004 45244838280 54670846255 65605015506 87473354008 109341692510 131210031012 164012538765 218683385020 262420062024 328025077530 437366770040 656050155060 1312100310120