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133120123032 = 23313835239829
BaseRepresentation
bin111101111111010010…
…0111110000010011000
3110201121100222220210010
41323332210332002120
54140112222414112
6141053214121520
712421561242651
oct1737644760230
9421540886703
10133120123032
1151501925806
12219717b02a0
13c726426c90
14662ba20528
1536e1c3463c
hex1efe93e098

133120123032 has 128 divisors (see below), whose sum is σ = 363448915200. Its totient is φ = 40385060352.

The previous prime is 133120122983. The next prime is 133120123057. The reversal of 133120123032 is 230321021331.

133120123032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13538694 + ... + 13548522.

It is an arithmetic number, because the mean of its divisors is an integer number (2839444650).

Almost surely, 2133120123032 is an apocalyptic number.

133120123032 is a gapful number since it is divisible by the number (12) 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 133120123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181724457600).

133120123032 is an abundant number, since it is smaller than the sum of its proper divisors (230328792168).

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

133120123032 is a wasteful number, since it uses less digits than its factorization.

133120123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133120123032 its reverse (230321021331), we get a palindrome (363441144363).

The spelling of 133120123032 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 523 664 996 1046 1079 1569 1992 2092 2158 3138 3237 4184 4316 6276 6474 6799 8632 9829 12552 12948 13598 19658 20397 25896 27196 29487 39316 40794 43409 54392 58974 78632 81588 86818 117948 127777 130227 163176 173636 235896 255554 260454 347272 383331 511108 520908 564317 766662 815807 1022216 1041816 1128634 1533324 1631614 1692951 2257268 2447421 3066648 3263228 3385902 4514536 4894842 5140567 6526456 6771804 9789684 10281134 10605491 13543608 15421701 19579368 20562268 21210982 30843402 31816473 41124536 42421964 61686804 63632946 66827371 84843928 123373608 127265892 133654742 200482113 254531784 267309484 400964226 426667061 534618968 801928452 853334122 1280001183 1603856904 1706668244 2560002366 3413336488 5120004732 5546671793 10240009464 11093343586 16640015379 22186687172 33280030758 44373374344 66560061516 133120123032