Search a number
-
+
1123883153140 = 2251167657711593
BaseRepresentation
bin10000010110101100101…
…001111111011011110100
310222102221100102122200011
4100112230221333123310
5121403203041400030
62220145500230004
7144124605115426
oct20265451773364
93872840378604
101123883153140
113a36aa816490
1216199623b304
1381c9bb12957
143c5793a8816
151e37c5b0b2a
hex105aca7f6f4

1123883153140 has 96 divisors (see below), whose sum is σ = 2613765458304. Its totient is φ = 402489077760.

The previous prime is 1123883153101. The next prime is 1123883153149. The reversal of 1123883153140 is 413513883211.

It is a super-2 number, since 2×11238831531402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123883153093 and 1123883153102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123883153149) 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 31 ways as a sum of consecutive naturals, for example, 96939184 + ... + 96950776.

It is an arithmetic number, because the mean of its divisors is an integer number (27226723524).

Almost surely, 21123883153140 is an apocalyptic number.

1123883153140 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 1123883153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306882729152).

1123883153140 is an abundant number, since it is smaller than the sum of its proper divisors (1489882305164).

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

1123883153140 is a wasteful number, since it uses less digits than its factorization.

1123883153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18257 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 1123883153140 in words is "one trillion, one hundred twenty-three billion, eight hundred eighty-three million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 6577 7370 11593 13154 14740 23186 26308 32885 46372 57965 65770 72347 115930 127523 131540 144694 231860 255046 289388 361735 440659 510092 637615 723470 776731 881318 1275230 1446940 1553462 1762636 2203295 2550460 3106924 3883655 4406590 4847249 7767310 8544041 8813180 9694498 15534620 17088082 19388996 24236245 34176164 42720205 48472490 76247161 85440410 96944980 152494322 170880820 304988644 381235805 762471610 838718771 1524943220 1677437542 3354875084 4193593855 5108559787 8387187710 10217119574 16774375420 20434239148 25542798935 51085597870 56194157657 102171195740 112388315314 224776630628 280970788285 561941576570 1123883153140