Search a number
-
+
1051015342120 = 235732511434011
BaseRepresentation
bin11110100101101010110…
…01010110100000101000
310201110212001210022122121
433102311121112200220
5114204434411421440
62122455122201024
7135635066001622
oct17226531264050
93643761708577
101051015342120
11375807840567
1214b83aab3174
13781584b7a03
1438c25959c12
151c51531d34a
hexf4b5656828

1051015342120 has 64 divisors (see below), whose sum is σ = 2406731019840. Its totient is φ = 412994880000.

The previous prime is 1051015342081. The next prime is 1051015342171. The reversal of 1051015342120 is 212435101501.

It is a super-2 number, since 2×10510153421202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15915 + ... + 1449925.

It is an arithmetic number, because the mean of its divisors is an integer number (37605172185).

Almost surely, 21051015342120 is an apocalyptic number.

1051015342120 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 1051015342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203365509920).

1051015342120 is an abundant number, since it is smaller than the sum of its proper divisors (1355715677720).

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

1051015342120 is a wasteful number, since it uses less digits than its factorization.

1051015342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434346 (or 1434342 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 1051015342120 in words is "one trillion, fifty-one billion, fifteen million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 251 292 365 502 584 730 1004 1255 1460 2008 2510 2920 5020 10040 18323 36646 73292 91615 146584 183230 366460 732920 1434011 2868022 5736044 7170055 11472088 14340110 28680220 57360440 104682803 209365606 359936761 418731212 523414015 719873522 837462424 1046828030 1439747044 1799683805 2093656060 2879494088 3599367610 4187312120 7198735220 14397470440 26275383553 52550767106 105101534212 131376917765 210203068424 262753835530 525507671060 1051015342120