Search a number
-
+
100030132021332 = 22371212503132257
BaseRepresentation
bin10110101111101000010100…
…011111000110100001010100
3111010011210020220000210212210
4112233220110133012201110
5101102343202244140312
6552425112552313420
730032636631121032
oct2657502437064124
9433153226023783
10100030132021332
11299665a4822847
12b2766149a2870
1343a7a54983876
141a9b6ac9c5552
15b8702ecc5e3c
hex5afa147c6854

100030132021332 has 72 divisors (see below), whose sum is σ = 236758042237248. Its totient is φ = 32870874498560.

The previous prime is 100030132021273. The next prime is 100030132021367. The reversal of 100030132021332 is 233120231030001.

It is a junction number, because it is equal to n+sod(n) for n = 100030132021299 and 100030132021308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 756265348 + ... + 756397604.

It is an arithmetic number, because the mean of its divisors is an integer number (3288306142184).

Almost surely, 2100030132021332 is an apocalyptic number.

100030132021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100030132021332 is an abundant number, since it is smaller than the sum of its proper divisors (136727910215916).

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

100030132021332 is a wasteful number, since it uses less digits than its factorization.

100030132021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144909 (or 144836 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100030132021332 its reverse (233120231030001), we get a palindrome (333150363051333).

The spelling of 100030132021332 in words is "one hundred trillion, thirty billion, one hundred thirty-two million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 5041 10082 12503 15123 20164 25006 30246 37509 50012 60492 75018 132257 150036 264514 396771 529028 793542 887713 1587084 1775426 2663139 3550852 5326278 9390247 10652556 18780494 28170741 37560988 56341482 63027623 112682964 126055246 189082869 252110492 378165738 666707537 756331476 1333415074 1653609271 2000122611 2666830148 3307218542 4000245222 4960827813 6614437084 8000490444 9921655626 19843311252 117406258241 234812516482 352218774723 469625032964 704437549446 1408875098892 8335844335111 16671688670222 25007533005333 33343377340444 50015066010666 100030132021332