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114052113141351 = 37111216614058261
BaseRepresentation
bin11001111011101011010011…
…101100001000111001100111
3112221211021102212022100122120
4121323223103230020321213
5104422112211431010401
61042322452323201023
733010664454104460
oct3173532354107147
9487737385270576
10114052113141351
1133382258599220
1210960091b16173
134b840b68790b8
14202421a4bbd67
15d2bb55823836
hex67bad3b08e67

114052113141351 has 32 divisors (see below), whose sum is σ = 189594728234496. Its totient is φ = 59247349392000.

The previous prime is 114052113141341. The next prime is 114052113141389. The reversal of 114052113141351 is 153141311250411.

It is not a de Polignac number, because 114052113141351 - 26 = 114052113141287 is a prime.

It is a super-2 number, since 2×1140521131413512 (a number of 29 digits) contains 22 as substring.

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 (114052113141341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26074561 + ... + 30132821.

It is an arithmetic number, because the mean of its divisors is an integer number (5924835257328).

Almost surely, 2114052113141351 is an apocalyptic number.

114052113141351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114052113141351 is a deficient number, since it is larger than the sum of its proper divisors (75542615093145).

114052113141351 is a wasteful number, since it uses less digits than its factorization.

114052113141351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179943.

The product of its (nonzero) digits is 7200, while the sum is 33.

Adding to 114052113141351 its reverse (153141311250411), we get a palindrome (267193424391762).

The spelling of 114052113141351 in words is "one hundred fourteen trillion, fifty-two billion, one hundred thirteen million, one hundred forty-one thousand, three hundred fifty-one".

Divisors: 1 3 7 11 21 33 77 231 121661 364983 851627 1338271 2554881 4014813 4058261 9367897 12174783 28103691 28407827 44640871 85223481 133922613 312486097 937458291 493732091521 1481196274563 3456124640647 5431053006731 10368373921941 16293159020193 38017371047117 114052113141351