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33130032021 = 341721937333
BaseRepresentation
bin11110110110101101…
…000010101110010101
310011111220000000010000
4132312231002232111
51020322242011041
623115243321513
72251664424432
oct366655025625
9104456000100
1033130032021
1113061048459
126507220299
13317c9a6858
14186401cb89
15cdd805bb6
hex7b6b42b95

33130032021 has 60 divisors (see below), whose sum is σ = 52852603012. Its totient is φ = 20676943872.

The previous prime is 33130032007. The next prime is 33130032077. The reversal of 33130032021 is 12023003133.

33130032021 is a `hidden beast` number, since 331 + 300 + 32 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1198128996 + 31931903025 = 34614^2 + 178695^2 .

It is not a de Polignac number, because 33130032021 - 211 = 33130029973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33130031985 and 33130032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130032521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4514271 + ... + 4521603.

Almost surely, 233130032021 is an apocalyptic number.

It is an amenable number.

33130032021 is a deficient number, since it is larger than the sum of its proper divisors (19722570991).

33130032021 is a wasteful number, since it uses less digits than its factorization.

33130032021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33130032021 its reverse (12023003133), we get a palindrome (45153035154).

The spelling of 33130032021 in words is "thirty-three billion, one hundred thirty million, thirty-two thousand, twenty-one".

Divisors: 1 3 9 17 27 51 81 153 193 289 459 579 867 1377 1737 2601 3281 5211 7333 7803 9843 15633 21999 23409 29529 55777 65997 88587 124661 167331 197991 265761 373983 501993 593973 1121949 1415269 1505979 2119237 3365847 4245807 4517937 6357711 10097541 12737421 19073133 24059573 38212263 57219399 72178719 114636789 171658197 216536157 409012741 649608471 1227038223 1948825413 3681114669 11043344007 33130032021