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116400101052 = 223192988319937
BaseRepresentation
bin110110001100111111…
…1001001011010111100
3102010110010022210111210
41230121333021122330
53401341411213202
6125250134044420
711260334351124
oct1543177113274
9363403283453
10116400101052
1145401905824
121a6861a9710
13ac90441251
1458c31c1c84
153063e13c6c
hex1b19fc96bc

116400101052 has 96 divisors (see below), whose sum is σ = 296103225600. Its totient is φ = 35448440832.

The previous prime is 116400101009. The next prime is 116400101093. The reversal of 116400101052 is 250101004611.

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, 5828428 + ... + 5848364.

It is an arithmetic number, because the mean of its divisors is an integer number (3084408600).

Almost surely, 2116400101052 is an apocalyptic number.

116400101052 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 116400101052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148051612800).

116400101052 is an abundant number, since it is smaller than the sum of its proper divisors (179703124548).

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

116400101052 is a wasteful number, since it uses less digits than its factorization.

116400101052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20875 (or 20873 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 116400101052 its reverse (250101004611), we get a palindrome (366501105663).

The spelling of 116400101052 in words is "one hundred sixteen billion, four hundred million, one hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 883 1102 1653 1766 2204 2649 3306 3532 5298 6612 10596 16777 19937 25607 33554 39874 50331 51214 59811 67108 76821 79748 100662 102428 119622 153642 201324 239244 307284 378803 486533 578173 757606 973066 1136409 1156346 1459599 1515212 1734519 1946132 2272818 2312692 2919198 3469038 4545636 5838396 6938076 10985287 17604371 21970574 32955861 35208742 43941148 52813113 65911722 70417484 105626226 131823444 211252452 334483049 510526759 668966098 1003449147 1021053518 1337932196 1531580277 2006898294 2042107036 3063160554 4013796588 6126321108 9700008421 19400016842 29100025263 38800033684 58200050526 116400101052