Search a number
-
+
102301233400 = 23523761226631
BaseRepresentation
bin101111101000110100…
…0001111000011111000
3100210001112211010000101
41133101220033003320
53134003103432100
6114555130245144
710251056064532
oct1372150170370
9323045733011
10102301233400
113a427419893
12179b05867b4
1398544c7102
144d46930852
1529db2a186a
hex17d1a0f0f8

102301233400 has 96 divisors (see below), whose sum is σ = 248284421280. Its totient is φ = 39161664000.

The previous prime is 102301233383. The next prime is 102301233401. The reversal of 102301233400 is 4332103201.

It is a super-2 number, since 2×1023012334002 (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 (102301233401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338085 + ... + 564715.

It is an arithmetic number, because the mean of its divisors is an integer number (2586296055).

Almost surely, 2102301233400 is an apocalyptic number.

102301233400 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 102301233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124142210640).

102301233400 is an abundant number, since it is smaller than the sum of its proper divisors (145983187880).

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

102301233400 is a wasteful number, since it uses less digits than its factorization.

102301233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226745 (or 226736 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102301233400 its reverse (4332103201), we get a palindrome (106633336601).

The spelling of 102301233400 in words is "one hundred two billion, three hundred one million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 61 74 100 122 148 185 200 244 296 305 370 488 610 740 925 1220 1480 1525 1850 2257 2440 3050 3700 4514 6100 7400 9028 11285 12200 18056 22570 45140 56425 90280 112850 225700 226631 451400 453262 906524 1133155 1813048 2266310 4532620 5665775 8385347 9065240 11331550 13824491 16770694 22663100 27648982 33541388 41926735 45326200 55297964 67082776 69122455 83853470 110595928 138244910 167706940 209633675 276489820 335413880 345612275 419267350 511506167 552979640 691224550 838534700 1023012334 1382449100 1677069400 2046024668 2557530835 2764898200 4092049336 5115061670 10230123340 12787654175 20460246680 25575308350 51150616700 102301233400