Search a number
-
+
102032323230201 = 37133779127863419
BaseRepresentation
bin10111001100110001000000…
…011000011011100111111001
3111101021012021001000121022220
4113030301000120123213321
5101333144144221331301
61001001000250434253
730330410041442130
oct2714610030334771
9441235231017286
10102032323230201
112a568735539251
12b53a66a732989
1344c17b718c020
141b2a5684a4917
15bbe165335936
hex5ccc4061b9f9

102032323230201 has 64 divisors (see below), whose sum is σ = 174139748966400. Its totient is φ = 51701828795136.

The previous prime is 102032323230199. The next prime is 102032323230319.

102032323230201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102032323230201 - 21 = 102032323230199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102032323230001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63133731 + ... + 64729688.

It is an arithmetic number, because the mean of its divisors is an integer number (2720933577600).

Almost surely, 2102032323230201 is an apocalyptic number.

It is an amenable number.

102032323230201 is a deficient number, since it is larger than the sum of its proper divisors (72107425736199).

102032323230201 is a wasteful number, since it uses less digits than its factorization.

102032323230201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127863558.

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 102032323230201 in words is "one hundred two trillion, thirty-two billion, three hundred twenty-three million, two hundred thirty thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 79 91 111 237 259 273 481 553 777 1027 1443 1659 2923 3081 3367 7189 8769 10101 20461 21567 37999 61383 113997 265993 797979 127863419 383590257 895043933 1662224447 2685131799 4730946503 4986673341 10101210101 11635571129 14192839509 30303630303 33116625521 34906713387 61502304539 70708470707 99349876563 131315731313 184506913617 212125412121 373744773737 393947193939 430516131773 919210119191 1121234321211 1291548395319 2616213416159 2757630357573 4858682058581 7848640248477 14576046175743 34010774410067 102032323230201