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120114074157 = 37114314612617
BaseRepresentation
bin110111111011101011…
…0110101001000101101
3102111000221211011211020
41233313112311020231
53431443200333112
6131102445244353
711451352533060
oct1576726651055
9374027734736
10120114074157
1146a38299790
121b341b636b9
13b432a17c7c
145b5655c8d7
1531ceeda48c
hex1bf75b522d

120114074157 has 64 divisors (see below), whose sum is σ = 200644190208. Its totient is φ = 62093376000.

The previous prime is 120114074137. The next prime is 120114074273. The reversal of 120114074157 is 751470411021.

It is not a de Polignac number, because 120114074157 - 27 = 120114074029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120114074137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45896313 + ... + 45898929.

It is an arithmetic number, because the mean of its divisors is an integer number (3135065472).

Almost surely, 2120114074157 is an apocalyptic number.

It is an amenable number.

120114074157 is a deficient number, since it is larger than the sum of its proper divisors (80530116051).

120114074157 is a wasteful number, since it uses less digits than its factorization.

120114074157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530.

The product of its (nonzero) digits is 7840, while the sum is 33.

Adding to 120114074157 its reverse (751470411021), we get a palindrome (871584485178).

The spelling of 120114074157 in words is "one hundred twenty billion, one hundred fourteen million, seventy-four thousand, one hundred fifty-seven".

Divisors: 1 3 7 11 21 33 77 231 431 461 1293 1383 2617 3017 3227 4741 5071 7851 9051 9681 14223 15213 18319 28787 33187 35497 54957 86361 99561 106491 198691 201509 596073 604527 1127927 1206437 1390837 2185601 3383781 3619311 4172511 6556803 7895489 8445059 12407197 13270807 15299207 23686467 25335177 37221591 39812421 45897621 86850379 92895649 260551137 278686947 519974347 1559923041 3639820429 5719717817 10919461287 17159153451 40038024719 120114074157