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1035500150214 = 23217191181315077
BaseRepresentation
bin11110001000110001001…
…11100101110111000110
310122222210210012220112100
433010120213211313012
5113431201014301324
62111411401532530
7134545442023155
oct17043047456706
93588723186470
101035500150214
1136a175926212
1214882aaa4146
1376854cc7a9a
143819314759c
151be0818e4c9
hexf1189e5dc6

1035500150214 has 96 divisors (see below), whose sum is σ = 2500966147680. Its totient is φ = 307718286336.

The previous prime is 1035500150213. The next prime is 1035500150227. The reversal of 1035500150214 is 4120510055301.

1035500150214 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 500 + 150 + 2 + 1 + 4 = 666.

It is a super-3 number, since 3×10355001502143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035500150213) 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, 68673244 + ... + 68688320.

It is an arithmetic number, because the mean of its divisors is an integer number (26051730705).

Almost surely, 21035500150214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035500150214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250483073840).

1035500150214 is an abundant number, since it is smaller than the sum of its proper divisors (1465465997466).

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

1035500150214 is a wasteful number, since it uses less digits than its factorization.

1035500150214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26934 (or 26931 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1035500150214 in words is "one trillion, thirty-five billion, five hundred million, one hundred fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 11813 15077 23626 30154 35439 45231 70878 90462 106317 135693 200821 212634 224447 256309 271386 286463 401642 448894 512618 572926 602463 673341 768927 859389 1204926 1346682 1537854 1718778 1807389 2020023 2306781 2578167 3614778 3815599 4040046 4613562 4869871 5156334 7631198 9739742 11446797 14609613 22893594 29219226 34340391 43828839 68680782 87657678 178104601 356209202 534313803 1068627606 1602941409 3027778217 3205882818 3383987419 6055556434 6767974838 9083334651 10151962257 18166669302 20303924514 27250003953 30455886771 54500007906 57527786123 60911773542 115055572246 172583358369 345166716738 517750075107 1035500150214