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21000153131331 = 31143101146527349
BaseRepresentation
bin1001100011001011110101…
…01010101110100101000011
32202100121001210000210211120
410301211322222232211003
510223031303200200311
6112355200454443323
74265132241251643
oct461457252564503
982317053023746
1021000153131331
116767129a73850
122431b78963543
13b943c920681a
145285acb66523
152663dec99706
hex13197aaae943

21000153131331 has 32 divisors (see below), whose sum is σ = 31565507846400. Its totient is φ = 12308297232000.

The previous prime is 21000153131131. The next prime is 21000153131351. The reversal of 21000153131331 is 13313135100012.

It is a happy number.

It is not a de Polignac number, because 21000153131331 - 215 = 21000153098563 is a prime.

It is a super-2 number, since 2×210001531313312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21000153131351) 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, 73120356 + ... + 73406993.

It is an arithmetic number, because the mean of its divisors is an integer number (986422120200).

Almost surely, 221000153131331 is an apocalyptic number.

21000153131331 is a deficient number, since it is larger than the sum of its proper divisors (10565354715069).

21000153131331 is a wasteful number, since it uses less digits than its factorization.

21000153131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146527507.

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 21000153131331 its reverse (13313135100012), we get a palindrome (34313288231343).

The spelling of 21000153131331 in words is "twenty-one trillion, one hundred fifty-three million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 43 101 129 303 473 1111 1419 3333 4343 13029 47773 143319 146527349 439582047 1611800839 4835402517 6300676007 14799262249 18902028021 44397786747 69307436077 162791884739 207922308231 488375654217 636368276707 1909104830121 7000051043777 21000153131331