Search a number
-
+
102303220032200 = 235211112394137509
BaseRepresentation
bin10111010000101101010011…
…000101101110001011001000
3111102020002111022010222202202
4113100231103011232023020
5101402113443312012300
61001325241145215332
730356110106324645
oct2720552305561310
9442202438128682
10102303220032200
112a66260873a0a0
12b583071491548
1345111c966c6c5
141b39706324dcc
15bc621c9b4ad5
hex5d0b5316e2c8

102303220032200 has 96 divisors (see below), whose sum is σ = 259501317192000. Its totient is φ = 37197851923200.

The previous prime is 102303220032199. The next prime is 102303220032203. The reversal of 102303220032200 is 2230022303201.

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

It is not an unprimeable number, because it can be changed into a prime (102303220032203) 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, 22657046 + ... + 26794554.

It is an arithmetic number, because the mean of its divisors is an integer number (2703138720750).

Almost surely, 2102303220032200 is an apocalyptic number.

102303220032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102303220032200 is an abundant number, since it is smaller than the sum of its proper divisors (157198097159800).

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

102303220032200 is a wasteful number, since it uses less digits than its factorization.

102303220032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148775 (or 4148766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 102303220032200 its reverse (2230022303201), we get a palindrome (104533242335401).

The spelling of 102303220032200 in words is "one hundred two trillion, three hundred three billion, two hundred twenty million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 11239 22478 44956 56195 89912 112390 123629 224780 247258 280975 449560 494516 561950 618145 989032 1123900 1236290 2247800 2472580 3090725 4137509 4945160 6181450 8275018 12362900 16550036 20687545 24725800 33100072 41375090 45512599 82750180 91025198 103437725 165500360 182050396 206875450 227562995 364100792 413750900 455125990 827501800 910251980 1137814975 1820503960 2275629950 4551259900 9102519800 46501463651 93002927302 186005854604 232507318255 372011709208 465014636510 511516100161 930029273020 1023032200322 1162536591275 1860058546040 2046064400644 2325073182550 2557580500805 4092128801288 4650146365100 5115161001610 9300292730200 10230322003220 12787902504025 20460644006440 25575805008050 51151610016100 102303220032200