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42120133013403 = 32107286138214001
BaseRepresentation
bin10011001001110110110111…
…00100001110111110011011
312112010122102111020020212100
421210323123210032332123
521010044013022412103
6225325415540414443
711605036106235264
oct1144733344167633
9175118374206770
1042120133013403
111246a05901aa05
1248831b73a7423
131a66bb0748443
14a588a7c1796b
154d09946c65a3
hex264edb90ef9b

42120133013403 has 48 divisors (see below), whose sum is σ = 61461690911712. Its totient is φ = 27793708800000.

The previous prime is 42120133013369. The next prime is 42120133013429. The reversal of 42120133013403 is 30431033102124.

It is a happy number.

42120133013403 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 0 + 13 + 301 + 340 + 3 = 666.

It is not a de Polignac number, because 42120133013403 - 242 = 37722086502299 is a prime.

It is a super-2 number, since 2×421201330134032 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42120133013443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10527399403 + ... + 10527403403.

It is an arithmetic number, because the mean of its divisors is an integer number (1280451893994).

Almost surely, 242120133013403 is an apocalyptic number.

42120133013403 is a deficient number, since it is larger than the sum of its proper divisors (19341557898309).

42120133013403 is a wasteful number, since it uses less digits than its factorization.

42120133013403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42120133013403 its reverse (30431033102124), we get a palindrome (72551166115527).

The spelling of 42120133013403 in words is "forty-two trillion, one hundred twenty billion, one hundred thirty-three million, thirteen thousand, four hundred three".

Divisors: 1 3 9 107 321 963 2861 3821 4001 8583 11463 12003 25749 34389 36009 306127 408847 428107 918381 1226541 1284321 2755143 3679623 3852963 10931881 11446861 15287821 32795643 34340583 45863463 98386929 103021749 137590389 1169711267 1224814127 1635796847 3509133801 3674442381 4907390541 10527401403 11023327143 14722171623 43738455881 131215367643 393646102929 4680014779267 14040044337801 42120133013403