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10031234942853 = 32314761107117203
BaseRepresentation
bin1001000111111001010000…
…1100100000011110000101
31022111222101000021202022200
42101332110030200132011
52303322432121132403
633200141414145113
72053506232104525
oct221762414403605
938458330252280
1010031234942853
11321824a67a983
121160154352199
13579c3132a827
1426972b5a1685
15125e071aaca3
hex91f94320785

10031234942853 has 96 divisors (see below), whose sum is σ = 15670846144512. Its totient is φ = 6171951081600.

The previous prime is 10031234942819. The next prime is 10031234942857. The reversal of 10031234942853 is 35824943213001.

It is a happy number.

10031234942853 is a `hidden beast` number, since 10 + 0 + 3 + 12 + 349 + 4 + 285 + 3 = 666.

It is not a de Polignac number, because 10031234942853 - 221 = 10031232845701 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10031234942799 and 10031234942808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031234942857) 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 95 ways as a sum of consecutive naturals, for example, 85529950 + ... + 85647152.

It is an arithmetic number, because the mean of its divisors is an integer number (163237980672).

Almost surely, 210031234942853 is an apocalyptic number.

It is an amenable number.

10031234942853 is a deficient number, since it is larger than the sum of its proper divisors (5639611201659).

10031234942853 is a wasteful number, since it uses less digits than its factorization.

10031234942853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117455 (or 117452 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10031234942853 in words is "ten trillion, thirty-one billion, two hundred thirty-four million, nine hundred forty-two thousand, eight hundred fifty-three".

Divisors: 1 3 9 31 47 61 93 107 141 183 279 321 423 549 963 1457 1891 2867 3317 4371 5029 5673 6527 8601 9951 13113 15087 17019 19581 25803 29853 45261 58743 88877 117203 155899 202337 266631 306769 351609 467697 607011 799893 920307 1054827 1403091 1821033 2760921 3633293 5508541 7149383 9509839 10899879 12540721 16525623 21448149 28529517 32699637 37622163 49576869 64344447 85588551 112866489 170764771 221630873 336021001 388762351 512294313 589413887 664892619 764983981 1008063003 1166287053 1536882939 1768241661 1994677857 2294951943 3024189009 3498861159 5304724983 6884855829 10416651031 18271830497 23714503411 31249953093 35954247107 54815491491 71143510233 93749859279 107862741321 164446474473 213430530699 323588223963 1114581660317 3343744980951 10031234942853