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10333234002012 = 22317478291300031
BaseRepresentation
bin1001011001011110010010…
…1111011111100001011100
31100120211212211210111200220
42112113210233133201130
52323244430401031022
633551004442121340
72114360112543045
oct226274457374134
940524784714626
1010333234002012
113324333230989
1211aa7971b0250
1359c55c36447c
1427a1b9dd58cc
1512dbd00e385c
hex965e4bdf85c

10333234002012 has 96 divisors (see below), whose sum is σ = 26103810539520. Its totient is φ = 3168994728960.

The previous prime is 10333234001989. The next prime is 10333234002017. The reversal of 10333234002012 is 21020043233301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333234002017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7298437 + ... + 8598467.

It is an arithmetic number, because the mean of its divisors is an integer number (271914693120).

Almost surely, 210333234002012 is an apocalyptic number.

10333234002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10333234002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051905269760).

10333234002012 is an abundant number, since it is smaller than the sum of its proper divisors (15770576537508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10333234002012 is a wasteful number, since it uses less digits than its factorization.

10333234002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300931 (or 1300929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10333234002012 its reverse (21020043233301), we get a palindrome (31353277235313).

The spelling of 10333234002012 in words is "ten trillion, three hundred thirty-three billion, two hundred thirty-four million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 829 1598 1658 2397 2487 3196 3316 4794 4974 9588 9948 14093 28186 38963 42279 56372 77926 84558 116889 155852 169116 233778 467556 662371 1300031 1324742 1987113 2600062 2649484 3900093 3974226 5200124 7800186 7948452 15600372 22100527 44201054 61101457 66301581 88402108 122202914 132603162 183304371 244405828 265206324 366608742 733217484 1038724769 1077725699 2077449538 2155451398 3116174307 3233177097 4154899076 4310902796 6232348614 6466354194 12464697228 12932708388 18321336883 36642673766 50653107853 54964010649 73285347532 101306215706 109928021298 151959323559 202612431412 219856042596 303918647118 607837294236 861102833501 1722205667002 2583308500503 3444411334004 5166617001006 10333234002012