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1010152141120 = 26511113284057
BaseRepresentation
bin11101011001100011100…
…00100111000101000000
310120120101020110121222201
432230301300213011000
5113022242422003440
62052020230042544
7132660340346053
oct16546160470500
93516336417881
101010152141120
1135a448604871
12143935aa9454
1374345654635
1436c6a890a9a
151b422b7819a
hexeb31c27140

1010152141120 has 56 divisors (see below), whose sum is σ = 2405649706344. Its totient is φ = 404023074816.

The previous prime is 1010152141091. The next prime is 1010152141139. The reversal of 1010152141120 is 211412510101.

It can be written as a sum of positive squares in 4 ways, for example, as 42541537536 + 967610603584 = 206256^2 + 983672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3414132 + ... + 3698188.

Almost surely, 21010152141120 is an apocalyptic number.

1010152141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010152141120 is an abundant number, since it is smaller than the sum of its proper divisors (1395497565224).

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

1010152141120 is a wasteful number, since it uses less digits than its factorization.

1010152141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295187 (or 295177 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 1010152141120 its reverse (211412510101), we get a palindrome (1221564651221).

The spelling of 1010152141120 in words is "one trillion, ten billion, one hundred fifty-two million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 11113 22226 44452 55565 88904 111130 177808 222260 284057 355616 444520 568114 711232 889040 1136228 1420285 1778080 2272456 2840570 3556160 4544912 5681140 9089824 11362280 18179648 22724560 45449120 90898240 3156725441 6313450882 12626901764 15783627205 25253803528 31567254410 50507607056 63134508820 101015214112 126269017640 202030428224 252538035280 505076070560 1010152141120