Search a number
-
+
100121232021321 = 3758211918142701
BaseRepresentation
bin10110110000111101001010…
…011110000001011101001001
3111010111111101210202022022110
4112300331022132001131021
5101110341240344140241
6552535020425412533
730042343315260450
oct2660751236013511
9433444353668273
10100121232021321
11299a11a3359135
12b2901ba03a149
1343b35126567c4
141aa1c71a21b97
15b895b29d8816
hex5b0f4a781749

100121232021321 has 32 divisors (see below), whose sum is σ = 152603425472256. Its totient is φ = 57197982240000.

The previous prime is 100121232021311. The next prime is 100121232021337. The reversal of 100121232021321 is 123120232121001.

It is not a de Polignac number, because 100121232021321 - 25 = 100121232021289 is a prime.

It is a super-2 number, since 2×1001212320213212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100121232021311) 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, 2344683271 + ... + 2344725971.

It is an arithmetic number, because the mean of its divisors is an integer number (4768857046008).

Almost surely, 2100121232021321 is an apocalyptic number.

It is an amenable number.

100121232021321 is a deficient number, since it is larger than the sum of its proper divisors (52482193450935).

100121232021321 is a wasteful number, since it uses less digits than its factorization.

100121232021321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67713.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100121232021321 its reverse (123120232121001), we get a palindrome (223241464142322).

The spelling of 100121232021321 in words is "one hundred trillion, one hundred twenty-one billion, two hundred thirty-two million, twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 21 5821 17463 19181 40747 42701 57543 122241 128103 134267 298907 402801 896721 111652601 248562521 334957803 745687563 781568207 819047881 1739937647 2344704621 2457143643 5219812941 5733335167 17200005501 4767677715301 14303033145903 33373744007107 100121232021321