Search a number
-
+
83100276112 = 2471723736883
BaseRepresentation
bin100110101100100101…
…0011001010110010000
321221111101211102022011
41031121022121112100
52330142132313422
6102101543152304
76001205456320
oct1153112312620
9257441742264
1083100276112
1132273a37447
1214132145694
137ab4528719
144044805280
15226576e077
hex1359299590

83100276112 has 120 divisors (see below), whose sum is σ = 196020963776. Its totient is φ = 33424717824.

The previous prime is 83100276101. The next prime is 83100276113. The reversal of 83100276112 is 21167200138.

It is not an unprimeable number, because it can be changed into a prime (83100276113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12069823 + ... + 12076705.

Almost surely, 283100276112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83100276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010481888).

83100276112 is an abundant number, since it is smaller than the sum of its proper divisors (112920687664).

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

83100276112 is a wasteful number, since it uses less digits than its factorization.

83100276112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 83100276112 in words is "eighty-three billion, one hundred million, two hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 373 476 578 746 952 1156 1492 1904 2023 2312 2611 2984 4046 4624 5222 5968 6341 6883 8092 10444 12682 13766 16184 20888 25364 27532 32368 41776 44387 48181 50728 55064 88774 96362 101456 107797 110128 117011 177548 192724 215594 234022 355096 385448 431188 468044 710192 754579 770896 819077 862376 936088 1509158 1638154 1724752 1872176 1989187 2567359 3018316 3276308 3978374 5134718 6036632 6552616 7956748 10269436 12073264 13105232 13924309 15913496 17971513 20538872 27848618 31826992 35943026 41077744 43645103 55697236 71886052 87290206 111394472 143772104 174580412 222788944 287544208 305515721 349160824 611031442 698321648 741966751 1222062884 1483933502 2444125768 2967867004 4888251536 5193767257 5935734008 10387534514 11871468016 20775069028 41550138056 83100276112