Search a number
-
+
100230220413 = 32296711350723
BaseRepresentation
bin101110101011000101…
…1111100101001111101
3100120201012211202021200
41131112023330221331
53120232414023123
6114013425250113
710145540550021
oct1352613745175
9316635752250
10100230220413
113956438a104
1217512a93939
1395b441813b
144bcb86c381
152919563143
hex17562fca7d

100230220413 has 48 divisors (see below), whose sum is σ = 153352854720. Its totient is φ = 62989420032.

The previous prime is 100230220403. The next prime is 100230220469. The reversal of 100230220413 is 314022032001.

100230220413 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 30 + 220 + 413 = 666.

It is not a de Polignac number, because 100230220413 - 24 = 100230220397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230220403) 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 47 ways as a sum of consecutive naturals, for example, 1950670 + ... + 2001392.

It is an arithmetic number, because the mean of its divisors is an integer number (3194851140).

Almost surely, 2100230220413 is an apocalyptic number.

It is an amenable number.

100230220413 is a deficient number, since it is larger than the sum of its proper divisors (53122634307).

100230220413 is a wasteful number, since it uses less digits than its factorization.

100230220413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50938 (or 50935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100230220413 its reverse (314022032001), we get a palindrome (414252252414).

The spelling of 100230220413 in words is "one hundred billion, two hundred thirty million, two hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 29 67 87 113 201 261 339 603 1017 1943 3277 5829 7571 9831 17487 22713 29493 50723 68139 152169 219559 456507 658677 1470967 1976031 3398441 4412901 5731699 10195323 13238703 17195097 30585969 51585291 98554789 166219271 295664367 384023833 498657813 886993101 1152071499 1495973439 3456214497 11136691157 33410073471 100230220413