Search a number
-
+
102235160000 = 26542779227
BaseRepresentation
bin101111100110110110…
…0001011110111000000
3100202212221111020100102
41133031230023313000
53133334200110000
6114544410141532
710246324343651
oct1371554136700
9322787436312
10102235160000
113a3a309a976
12179924218a8
13984390191c
144d3bc51528
1529d559e3d5
hex17cdb0bdc0

102235160000 has 140 divisors (see below), whose sum is σ = 254452742808. Its totient is φ = 40742016000.

The previous prime is 102235159987. The next prime is 102235160047. The reversal of 102235160000 is 61532201.

102235160000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11075387 + ... + 11084613.

Almost surely, 2102235160000 is an apocalyptic number.

102235160000 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 102235160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226371404).

102235160000 is an abundant number, since it is smaller than the sum of its proper divisors (152217582808).

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

102235160000 is an frugal number, since it uses more digits than its factorization.

102235160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 102235160000 its reverse (61532201), we get a palindrome (102296692201).

The spelling of 102235160000 in words is "one hundred two billion, two hundred thirty-five million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 277 320 400 500 554 625 800 1000 1108 1250 1385 1600 2000 2216 2500 2770 4000 4432 5000 5540 6925 8000 8864 9227 10000 11080 13850 17728 18454 20000 22160 27700 34625 36908 40000 44320 46135 55400 69250 73816 88640 92270 110800 138500 147632 173125 184540 221600 230675 277000 295264 346250 369080 443200 461350 554000 590528 692500 738160 922700 1108000 1153375 1385000 1476320 1845400 2216000 2306750 2555879 2770000 2952640 3690800 4613500 5111758 5540000 5766875 7381600 9227000 10223516 11080000 11533750 12779395 14763200 18454000 20447032 23067500 25558790 36908000 40894064 46135000 51117580 63896975 73816000 81788128 92270000 102235160 127793950 163576256 184540000 204470320 255587900 319484875 369080000 408940640 511175800 638969750 817881280 1022351600 1277939500 1597424375 2044703200 2555879000 3194848750 4089406400 5111758000 6389697500 10223516000 12779395000 20447032000 25558790000 51117580000 102235160000