Search a number
-
+
102248246700 = 223352257147353
BaseRepresentation
bin101111100111001111…
…0000110110110101100
3100202220212010002221000
41133032132012312230
53133401022343300
6114545554440300
710246543520415
oct1371636066654
9322825102830
10102248246700
113a3aa519126
1217996893090
139846534432
144d3d89a80c
1529d67d6c00
hex17ce786dac

102248246700 has 144 divisors (see below), whose sum is σ = 329990441760. Its totient is φ = 27159920640.

The previous prime is 102248246693. The next prime is 102248246743. The reversal of 102248246700 is 7642842201.

102248246700 is a `hidden beast` number, since 102 + 2 + 482 + 4 + 6 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620224 + ... + 767576.

It is an arithmetic number, because the mean of its divisors is an integer number (2291600290).

Almost surely, 2102248246700 is an apocalyptic number.

102248246700 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 102248246700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164995220880).

102248246700 is an abundant number, since it is smaller than the sum of its proper divisors (227742195060).

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

102248246700 is a wasteful number, since it uses less digits than its factorization.

102248246700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147633 (or 147620 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 102248246700 in words is "one hundred two billion, two hundred forty-eight million, two hundred forty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 257 270 300 450 514 540 675 771 900 1028 1285 1350 1542 2313 2570 2700 3084 3855 4626 5140 6425 6939 7710 9252 11565 12850 13878 15420 19275 23130 25700 27756 34695 38550 46260 57825 69390 77100 115650 138780 147353 173475 231300 294706 346950 442059 589412 693900 736765 884118 1326177 1473530 1768236 2210295 2652354 2947060 3683825 3978531 4420590 5304708 6630885 7367650 7957062 8841180 11051475 13261770 14735300 15914124 19892655 22102950 26523540 33154425 37869721 39785310 44205900 66308850 75739442 79570620 99463275 113609163 132617700 151478884 189348605 198926550 227218326 340827489 378697210 397853100 454436652 568045815 681654978 757394420 946743025 1022482467 1136091630 1363309956 1704137445 1893486050 2044964934 2272183260 2840229075 3408274890 3786972100 4089929868 5112412335 5680458150 6816549780 8520687225 10224824670 11360916300 17041374450 20449649340 25562061675 34082748900 51124123350 102248246700