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100314423030 = 23531181159561
BaseRepresentation
bin101110101101100110…
…1001001111011110110
3100120221002021200120010
41131123031021323312
53120420443014110
6114030034121050
710150612345503
oct1353315117366
9316832250503
10100314423030
11395a7970848
1217537120186
1395c89ba383
144bd8b0a4aa
152921b47020
hex175b349ef6

100314423030 has 64 divisors (see below), whose sum is σ = 248662296576. Its totient is φ = 25872864000.

The previous prime is 100314423029. The next prime is 100314423031. The reversal of 100314423030 is 30324413001.

It is an interprime number because it is at equal distance from previous prime (100314423029) and next prime (100314423031).

It is a junction number, because it is equal to n+sod(n) for n = 100314422988 and 100314423006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314423031) 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 31 ways as a sum of consecutive naturals, for example, 1654450 + ... + 1714010.

It is an arithmetic number, because the mean of its divisors is an integer number (3885348384).

Almost surely, 2100314423030 is an apocalyptic number.

100314423030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314423030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124331148288).

100314423030 is an abundant number, since it is smaller than the sum of its proper divisors (148347873546).

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

100314423030 is a wasteful number, since it uses less digits than its factorization.

100314423030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61413.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100314423030 its reverse (30324413001), we get a palindrome (130638836031).

The spelling of 100314423030 in words is "one hundred billion, three hundred fourteen million, four hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1811 3622 5433 9055 10866 18110 27165 54330 56141 59561 112282 119122 168423 178683 280705 297805 336846 357366 561410 595610 842115 893415 1684230 1786830 1846391 3692782 5539173 9231955 11078346 18463910 27695865 55391730 107864971 215729942 323594913 539324855 647189826 1078649710 1617974565 3235949130 3343814101 6687628202 10031442303 16719070505 20062884606 33438141010 50157211515 100314423030