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1310142142122 = 2311472831492417
BaseRepresentation
bin10011000100001010100…
…011101001011010101010
311122020201001120122200120
4103010022203221122222
5132431132342021442
62441512044544110
7163440354315012
oct23041243513252
94566631518616
101310142142122
114656a00a1730
12191ab7b52036
1396713391c78
14475a854cc42
152412e50e4ec
hex1310a8e96aa

1310142142122 has 64 divisors (see below), whose sum is σ = 2929628473344. Its totient is φ = 387192407040.

The previous prime is 1310142142061. The next prime is 1310142142147. The reversal of 1310142142122 is 2212412410131.

It is a junction number, because it is equal to n+sod(n) for n = 1310142142092 and 1310142142101.

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, 131658 + ... + 1624074.

It is an arithmetic number, because the mean of its divisors is an integer number (45775444896).

Almost surely, 21310142142122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310142142122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464814236672).

1310142142122 is an abundant number, since it is smaller than the sum of its proper divisors (1619486331222).

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

1310142142122 is a wasteful number, since it uses less digits than its factorization.

1310142142122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492763.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1310142142122 its reverse (2212412410131), we get a palindrome (3522554552253).

The spelling of 1310142142122 in words is "one trillion, three hundred ten billion, one hundred forty-two million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 283 517 566 849 1034 1551 1698 3102 3113 6226 9339 13301 18678 26602 39903 79806 146311 292622 438933 877866 1492417 2984834 4477251 8954502 16416587 32833174 49249761 70143599 98499522 140287198 210430797 420861594 422354011 771579589 844708022 1267062033 1543159178 2314738767 2534124066 4629477534 4645894121 9291788242 13937682363 19850638517 27875364726 39701277034 59551915551 119103831102 218357023687 436714047374 655071071061 1310142142122