Search a number
-
+
130321102200210 = 232523389161843327
BaseRepresentation
bin11101101000011010111111…
…000000001101110110010010
3122002102120112200110011012200
4131220122333000031312102
5114040140104130401320
61141100404324304030
736310250254316535
oct3550327700156622
9562376480404180
10130321102200210
1138584961800909
1212749129542016
1357942c522c99c
142427809b38a1c
15100ee3e641290
hex7686bf00dd92

130321102200210 has 96 divisors (see below), whose sum is σ = 354475730718720. Its totient is φ = 33155871137664.

The previous prime is 130321102200181. The next prime is 130321102200307. The reversal of 130321102200210 is 12002201123031.

130321102200210 is a `hidden beast` number, since 1 + 30 + 321 + 102 + 2 + 0 + 0 + 210 = 666.

130321102200210 is digitally balanced in base 4, 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 (18).

It is a Curzon number.

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, 80116434 + ... + 81726893.

It is an arithmetic number, because the mean of its divisors is an integer number (3692455528320).

Almost surely, 2130321102200210 is an apocalyptic number.

130321102200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130321102200210 is an abundant number, since it is smaller than the sum of its proper divisors (224154628518510).

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

130321102200210 is a wasteful number, since it uses less digits than its factorization.

130321102200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161843752 (or 161843749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130321102200210 its reverse (12002201123031), we get a palindrome (142323303323241).

The spelling of 130321102200210 in words is "one hundred thirty trillion, three hundred twenty-one billion, one hundred two million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 389 414 690 778 1035 1167 1945 2070 2334 3501 3890 5835 7002 8947 11670 17505 17894 26841 35010 44735 53682 80523 89470 134205 161046 268410 402615 805230 161843327 323686654 485529981 809216635 971059962 1456589943 1618433270 2427649905 2913179886 3722396521 4855299810 7282949715 7444793042 11167189563 14565899430 18611982605 22334379126 33501568689 37223965210 55835947815 62957054203 67003137378 111671895630 125914108406 167507843445 188871162609 314785271015 335015686890 377742325218 566613487827 629570542030 944355813045 1133226975654 1448012246669 1888711626090 2833067439135 2896024493338 4344036740007 5666134878270 7240061233345 8688073480014 13032110220021 14480122466690 21720183700035 26064220440042 43440367400070 65160551100105 130321102200210