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40221232000131 = 37132379727111533
BaseRepresentation
bin10010010010100101111000…
…01111101110110010000011
312021102010000210222001112010
421021102330033232302003
520232441040343001011
6221313213501504003
711320613424031530
oct1111227417566203
9167363023861463
1040221232000131
11118a7801998216
124617189272003
131959acc5ab210
149d0a0a341d87
1549b3a71691a6
hex2494bc3eec83

40221232000131 has 128 divisors (see below), whose sum is σ = 69842198200320. Its totient is φ = 20008562416128.

The previous prime is 40221232000043. The next prime is 40221232000141. The reversal of 40221232000131 is 13100023212204.

40221232000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40221232000131 - 213 = 40221231991939 is a prime.

It is a super-2 number, since 2×402212320001312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40221232000098 and 40221232000107.

It is not an unprimeable number, because it can be changed into a prime (40221232000141) 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 127 ways as a sum of consecutive naturals, for example, 360566041 + ... + 360677573.

It is an arithmetic number, because the mean of its divisors is an integer number (545642173440).

Almost surely, 240221232000131 is an apocalyptic number.

40221232000131 is a deficient number, since it is larger than the sum of its proper divisors (29620966200189).

40221232000131 is a wasteful number, since it uses less digits than its factorization.

40221232000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112385.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40221232000131 its reverse (13100023212204), we get a palindrome (53321255212335).

The spelling of 40221232000131 in words is "forty trillion, two hundred twenty-one billion, two hundred thirty-two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 13 21 23 39 69 79 91 161 237 273 299 483 553 727 897 1027 1659 1817 2093 2181 3081 5089 5451 6279 7189 9451 12719 15267 16721 21567 23621 28353 38157 50163 57433 66157 70863 111533 117047 165347 172299 198471 217373 334599 351141 402031 496041 652119 746629 780731 1206093 1320959 1449929 1521611 2239887 2342193 2565259 3962877 4349787 4564833 5226403 7695777 8811107 9246713 10149503 15679209 17172467 17956813 26433321 27740139 30448509 33348367 51517401 53870439 61677749 81084491 100045101 114544391 120207269 185033247 202655461 233438569 243253473 343633173 360621807 567591437 607966383 700315707 801810737 1054098383 1418588227 1702774311 1864943293 2405432211 2634520993 3162295149 4255764681 5594829879 6405674789 7378688681 7903562979 13054603051 18441646951 19217024367 22136066043 24244262809 39163809153 44839723523 55324940853 72732788427 83273772257 134519170569 147330520147 169709839663 249821316771 441991560441 509129518989 582916405799 1031313641029 1748749217397 1915296761911 3093940923087 5745890285733 13407077333377 40221232000131