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1125020053152 = 25335032588681
BaseRepresentation
bin10000010111110000011…
…010111010111010100000
310222112212120201011022000
4100113300122322322200
5121413020113200102
62220454352044000
7144165021445632
oct20276032727240
93875776634260
101125020053152
113a4133544276
12162052b33600
1382120513158
143c646390a52
151e3e72d501c
hex105f06baea0

1125020053152 has 96 divisors (see below), whose sum is σ = 3287833234560. Its totient is φ = 374260999680.

The previous prime is 1125020053141. The next prime is 1125020053169. The reversal of 1125020053152 is 2513500205211.

1125020053152 is a `hidden beast` number, since 1 + 1 + 2 + 502 + 0 + 0 + 5 + 3 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 859749 + ... + 1728932.

It is an arithmetic number, because the mean of its divisors is an integer number (34248262860).

Almost surely, 21125020053152 is an apocalyptic number.

1125020053152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1125020053152 is an abundant number, since it is smaller than the sum of its proper divisors (2162813181408).

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

1125020053152 is a wasteful number, since it uses less digits than its factorization.

1125020053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589203 (or 2589189 counting only the distinct ones).

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

Adding to 1125020053152 its reverse (2513500205211), we get a palindrome (3638520258363).

The spelling of 1125020053152 in words is "one trillion, one hundred twenty-five billion, twenty million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 503 864 1006 1509 2012 3018 4024 4527 6036 8048 9054 12072 13581 16096 18108 24144 27162 36216 48288 54324 72432 108648 144864 217296 434592 2588681 5177362 7766043 10354724 15532086 20709448 23298129 31064172 41418896 46596258 62128344 69894387 82837792 93192516 124256688 139788774 186385032 248513376 279577548 372770064 559155096 745540128 1118310192 1302106543 2236620384 2604213086 3906319629 5208426172 7812639258 10416852344 11718958887 15625278516 20833704688 23437917774 31250557032 35156876661 41667409376 46875835548 62501114064 70313753322 93751671096 125002228128 140627506644 187503342192 281255013288 375006684384 562510026576 1125020053152