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10130033322000 = 243253562779629
BaseRepresentation
bin1001001101101001010100…
…0010011010100000010000
31022212102101102212102122100
42103122111002122200100
52311432302012301000
633313401214240400
72063604445344324
oct223322502324020
938772342772570
1010130033322000
1132561397a2499
1211773277b6100
13586347bc90c7
14270420bcd984
1512878ab89a00
hex9369509a810

10130033322000 has 120 divisors (see below), whose sum is σ = 35380829778840. Its totient is φ = 2701342214400.

The previous prime is 10130033321963. The next prime is 10130033322061. The reversal of 10130033322000 is 22333003101.

10130033322000 is a `hidden beast` number, since 1 + 0 + 130 + 0 + 3 + 332 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3098965910544 + 7031067411456 = 1760388^2 + 2651616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281371815 + ... + 281407814.

It is an arithmetic number, because the mean of its divisors is an integer number (294840248157).

Almost surely, 210130033322000 is an apocalyptic number.

10130033322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130033322000 is an abundant number, since it is smaller than the sum of its proper divisors (25250796456840).

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

10130033322000 is a wasteful number, since it uses less digits than its factorization.

10130033322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562779658 (or 562779639 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10130033322000 its reverse (22333003101), we get a palindrome (10152366325101).

The spelling of 10130033322000 in words is "ten trillion, one hundred thirty billion, thirty-three million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 562779629 1125559258 1688338887 2251118516 2813898145 3376677774 4502237032 5065016661 5627796290 6753355548 8441694435 9004474064 10130033322 11255592580 13506711096 14069490725 16883388870 20260066644 22511185160 25325083305 27013422192 28138981450 33766777740 40520133288 42208472175 45022370320 50650166610 56277962900 67533555480 70347453625 81040266576 84416944350 101300333220 112555925800 126625416525 135067110960 140694907250 168833888700 202600666440 211042360875 225111851600 253250833050 281389814500 337667777400 405201332880 422084721750 506501666100 562779629000 633127082625 675335554800 844169443500 1013003332200 1125559258000 1266254165250 1688338887000 2026006664400 2532508330500 3376677774000 5065016661000 10130033322000