Search a number
-
+
106326326080 = 2651359433207
BaseRepresentation
bin110001100000110001…
…0101111101101000000
3101011110001202000011001
41203001202233231000
53220224014413310
6120502354101344
710452602600602
oct1430142575500
9334401660131
10106326326080
1141102491567
121873457a854
13a046392c60
145209337172
152b7483193a
hex18c18afb40

106326326080 has 112 divisors (see below), whose sum is σ = 277287776640. Its totient is φ = 38593456128.

The previous prime is 106326326077. The next prime is 106326326081. The reversal of 106326326080 is 80623623601.

It is a super-2 number, since 2×1063263260802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106326326081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28837 + ... + 462043.

It is an arithmetic number, because the mean of its divisors is an integer number (2475783720).

Almost surely, 2106326326080 is an apocalyptic number.

106326326080 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 106326326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138643888320).

106326326080 is an abundant number, since it is smaller than the sum of its proper divisors (170961450560).

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

106326326080 is a wasteful number, since it uses less digits than its factorization.

106326326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433296 (or 433286 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 106326326080 its reverse (80623623601), we get a palindrome (186949949681).

The spelling of 106326326080 in words is "one hundred six billion, three hundred twenty-six million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 130 160 208 236 260 295 320 416 472 520 590 767 832 944 1040 1180 1534 1888 2080 2360 3068 3776 3835 4160 4720 6136 7670 9440 12272 15340 18880 24544 30680 49088 61360 122720 245440 433207 866414 1732828 2166035 3465656 4332070 5631691 6931312 8664140 11263382 13862624 17328280 22526764 25559213 27725248 28158455 34656560 45053528 51118426 56316910 69313120 90107056 102236852 112633820 127796065 138626240 180214112 204473704 225267640 255592130 332269769 360428224 408947408 450535280 511184260 664539538 817894816 901070560 1022368520 1329079076 1635789632 1661348845 1802141120 2044737040 2658158152 3322697690 4089474080 5316316304 6645395380 8178948160 10632632608 13290790760 21265265216 26581581520 53163163040 106326326080