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1310204140104 = 2334727115492767
BaseRepresentation
bin10011000100001110010…
…000001001101001001000
311122020212101020110221010
4103010032100021221020
5132431244224440404
62441522141443520
7163442036303106
oct23041620115110
94566771213833
101310204140104
11465722097732
12191b148705a0
139672318b472
14475b288ac76
1524134ba9189
hex1310e409a48

1310204140104 has 128 divisors (see below), whose sum is σ = 3360927744000. Its totient is φ = 425436468480.

The previous prime is 1310204140093. The next prime is 1310204140129. The reversal of 1310204140104 is 4010414020131.

It is a super-2 number, since 2×13102041401042 (a number of 25 digits) contains 22 as substring.

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, 473509329 + ... + 473512095.

It is an arithmetic number, because the mean of its divisors is an integer number (26257248000).

Almost surely, 21310204140104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310204140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680463872000).

1310204140104 is an abundant number, since it is smaller than the sum of its proper divisors (2050723603896).

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

1310204140104 is a wasteful number, since it uses less digits than its factorization.

1310204140104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1310204140104 its reverse (4010414020131), we get a palindrome (5320618160235).

The spelling of 1310204140104 in words is "one trillion, three hundred ten billion, two hundred four million, one hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 271 282 376 542 564 813 1084 1128 1549 1626 2168 2767 3098 3252 4647 5534 6196 6504 8301 9294 11068 12392 12737 16602 18588 22136 25474 33204 37176 38211 50948 66408 72803 76422 101896 130049 145606 152844 218409 260098 291212 305688 390147 419779 436818 520196 582424 749857 780294 839558 873636 1040392 1259337 1499714 1560588 1679116 1747272 2249571 2518674 2999428 3121176 3358232 4286083 4499142 5037348 5998856 8572166 8998284 10074696 12858249 17144332 17996568 19729613 25716498 34288664 35243279 39459226 51432996 59188839 70486558 78918452 102865992 105729837 118377678 140973116 157836904 201445901 211459674 236755356 281946232 402891802 422919348 473510712 604337703 805783604 845838696 1161528493 1208675406 1611567208 2323056986 2417350812 3484585479 4646113972 4834701624 6969170958 9292227944 13938341916 27876683832 54591839171 109183678342 163775517513 218367356684 327551035026 436734713368 655102070052 1310204140104