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233111134130 = 25729114833071
BaseRepresentation
bin1101100100011010000…
…0011001111110110010
3211021200220201120120112
43121012200121332302
512304402422243010
6255031220341322
722561465642520
oct3310640317662
9737626646515
10233111134130
118a953181366
1239218544842
1318ca010a134
14b3d57c1310
1560e5295a05
hex3646819fb2

233111134130 has 32 divisors (see below), whose sum is σ = 496078871040. Its totient is φ = 77167823040.

The previous prime is 233111134127. The next prime is 233111134133. The reversal of 233111134130 is 31431111332.

233111134130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233111134127) and next prime (233111134133).

It is a junction number, because it is equal to n+sod(n) for n = 233111134096 and 233111134105.

It is not an unprimeable number, because it can be changed into a prime (233111134133) by changing a digit.

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, 57414506 + ... + 57418565.

It is an arithmetic number, because the mean of its divisors is an integer number (15502464720).

Almost surely, 2233111134130 is an apocalyptic number.

233111134130 is an abundant number, since it is smaller than the sum of its proper divisors (262967736910).

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

233111134130 is a wasteful number, since it uses less digits than its factorization.

233111134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114833114.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 233111134130 its reverse (31431111332), we get a palindrome (264542245462).

The spelling of 233111134130 in words is "two hundred thirty-three billion, one hundred eleven million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030 114833071 229666142 574165355 803831497 1148330710 1607662994 3330159059 4019157485 6660318118 8038314970 16650795295 23311113413 33301590590 46622226826 116555567065 233111134130