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4027000131 = 35711373577
BaseRepresentation
bin1111000000000111…
…0010010101000011
3101101122111210200000
43300001302111003
531221403001011
61503332331043
7201535636110
oct36001622503
911348453600
104027000131
111787155890
12944773a83
134c23b611b
142a2b81907
1518880a356
hexf0072543

4027000131 has 96 divisors (see below), whose sum is σ = 7553914368. Its totient is φ = 2082723840.

The previous prime is 4027000127. The next prime is 4027000139. The reversal of 4027000131 is 1310007204.

It is not a de Polignac number, because 4027000131 - 22 = 4027000127 is a prime.

It is a super-2 number, since 2×40270001312 = 32433460110148034322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4027000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6978915 + ... + 6979491.

It is an arithmetic number, because the mean of its divisors is an integer number (78686608).

Almost surely, 24027000131 is an apocalyptic number.

4027000131 is a deficient number, since it is larger than the sum of its proper divisors (3526914237).

4027000131 is a wasteful number, since it uses less digits than its factorization.

4027000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4027000131 is about 63458.6489849886. The cubic root of 4027000131 is about 1590.9647153698.

Adding to 4027000131 its reverse (1310007204), we get a palindrome (5337007335).

The spelling of 4027000131 in words is "four billion, twenty-seven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 373 567 577 693 891 1119 1701 1731 2079 2611 2673 3357 4039 4103 5193 6237 6347 7833 10071 12117 12309 15579 18711 19041 23499 28721 30213 36351 36927 44429 46737 57123 70497 86163 90639 109053 110781 133287 140211 171369 211491 215221 258489 327159 332343 399861 514107 634473 645663 775467 981477 997029 1199583 1506547 1542321 1936989 2326401 2367431 3598749 4519641 5810967 6979203 7102293 10796247 13558923 16572017 17432901 21306879 40676769 49716051 52298703 63920637 122030307 149148153 191761911 366090921 447444459 575285733 1342333377 4027000131