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33001420101 = 31337151311487
BaseRepresentation
bin11110101111000010…
…011011010101000101
310011011220222211201120
4132233002123111011
51020041330420401
623054410544153
72245543304526
oct365702332505
9104156884646
1033001420101
1112aa5494411
126490138059
13315c155b20
141850d0084d
15cd239d836
hex7af09b545

33001420101 has 64 divisors (see below), whose sum is σ = 49248116736. Its totient is φ = 19525536000.

The previous prime is 33001420099. The next prime is 33001420117. The reversal of 33001420101 is 10102410033.

It is not a de Polignac number, because 33001420101 - 21 = 33001420099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001425101) 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 63 ways as a sum of consecutive naturals, for example, 67764480 + ... + 67764966.

It is an arithmetic number, because the mean of its divisors is an integer number (769501824).

Almost surely, 233001420101 is an apocalyptic number.

It is an amenable number.

33001420101 is a deficient number, since it is larger than the sum of its proper divisors (16246696635).

33001420101 is a wasteful number, since it uses less digits than its factorization.

33001420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33001420101 its reverse (10102410033), we get a palindrome (43103830134).

The spelling of 33001420101 in words is "thirty-three billion, one million, four hundred twenty thousand, one hundred one".

Divisors: 1 3 13 37 39 111 151 311 453 481 487 933 1443 1461 1963 4043 5587 5889 6331 11507 12129 16761 18019 18993 34521 46961 54057 72631 73537 140883 149591 151457 217893 220611 234247 448773 454371 610493 702741 955981 1737557 1831479 1968941 2720869 2867943 5212671 5603909 5906823 8162607 16811727 22588241 22870007 35371297 67764723 68610021 72850817 106113891 218552451 297310091 846190259 891930273 2538570777 11000473367 33001420101