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101321022132 = 2232111032484089
BaseRepresentation
bin101111001011100110…
…1000001101010110100
3100200112020101012221100
41132113031001222310
53130001140202012
6114313553050100
710214554322661
oct1362715015264
9320466335840
10101321022132
1139a74091630
1217778256930
1397293c8145
144c92694a68
1529801cd8dc
hex1797341ab4

101321022132 has 72 divisors (see below), whose sum is σ = 282113133120. Its totient is φ = 30405237120.

The previous prime is 101321022119. The next prime is 101321022133. The reversal of 101321022132 is 231220123101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321022133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201257 + ... + 1282832.

It is an arithmetic number, because the mean of its divisors is an integer number (3918237960).

Almost surely, 2101321022132 is an apocalyptic number.

101321022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101321022132 is an abundant number, since it is smaller than the sum of its proper divisors (180792110988).

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

101321022132 is a wasteful number, since it uses less digits than its factorization.

101321022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484213 (or 2484208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101321022132 its reverse (231220123101), we get a palindrome (332541145233).

The spelling of 101321022132 in words is "one hundred one billion, three hundred twenty-one million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2266 3399 3708 4532 6798 10197 13596 20394 40788 2484089 4968178 7452267 9936356 14904534 22356801 27324979 29809068 44713602 54649958 81974937 89427204 109299916 163949874 245924811 255861167 327899748 491849622 511722334 767583501 983699244 1023444668 1535167002 2302750503 2814472837 3070334004 4605501006 5628945674 8443418511 9211002012 11257891348 16886837022 25330255533 33773674044 50660511066 101321022132