Search a number
-
+
13123011100 = 2252231492257
BaseRepresentation
bin11000011100011000…
…10100001000011100
31020212120021000222011
430032030110020130
5203333442323400
610010103401004
7643125516403
oct141614241034
936776230864
1013123011100
115624663521
122662a53164
131311a11334
148c6c2a63a
1551c14e8ba
hex30e31421c

13123011100 has 108 divisors (see below), whose sum is σ = 30032234064. Its totient is φ = 4967874560.

The previous prime is 13123011091. The next prime is 13123011101. The reversal of 13123011100 is 111032131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51062172 + ... + 51062428.

Almost surely, 213123011100 is an apocalyptic number.

13123011100 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 13123011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016117032).

13123011100 is an abundant number, since it is smaller than the sum of its proper divisors (16909222964).

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

13123011100 is a wasteful number, since it uses less digits than its factorization.

13123011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13123011100 its reverse (111032131), we get a palindrome (13234043231).

The spelling of 13123011100 in words is "thirteen billion, one hundred twenty-three million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 149 230 257 298 460 514 575 596 745 1028 1150 1285 1490 2300 2570 2980 3427 3725 5140 5911 6425 6854 7450 11822 12850 13708 14900 17135 22201 23644 25700 29555 34270 38293 44402 59110 68540 76586 85675 88804 111005 118220 147775 153172 171350 191465 222010 295550 342700 382930 444020 510623 555025 591100 765860 880739 957325 1021246 1110050 1761478 1914650 2042492 2220100 2553115 3522956 3829300 4403695 5106230 5705657 8807390 10212460 11411314 12765575 17614780 22018475 22822628 25531150 28528285 44036950 51062300 57056570 88073900 114113140 131230111 142641425 262460222 285282850 524920444 570565700 656150555 1312301110 2624602220 3280752775 6561505550 13123011100