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10022301133020 = 22335111687256083
BaseRepresentation
bin1001000111010111111110…
…1100101110100011011100
31022111010022101202012011000
42101311333230232203130
52303201133042224040
633152103115430300
72053041652011651
oct221657754564334
938433271665130
1010022301133020
113214485788370
12115a480455390
135791394b3c17
14269120c99c28
15125a82c06130
hex91d7fb2e8dc

10022301133020 has 96 divisors (see below), whose sum is σ = 34015082653440. Its totient is φ = 2429648758080.

The previous prime is 10022301133001. The next prime is 10022301133067. The reversal of 10022301133020 is 2033110322001.

10022301133020 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 301 + 1 + 330 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10022301132984 and 10022301133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843622102 + ... + 843633981.

It is an arithmetic number, because the mean of its divisors is an integer number (354323777640).

Almost surely, 210022301133020 is an apocalyptic number.

10022301133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022301133020 is an abundant number, since it is smaller than the sum of its proper divisors (23992781520420).

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

10022301133020 is a wasteful number, since it uses less digits than its factorization.

10022301133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687256112 (or 1687256104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10022301133020 its reverse (2033110322001), we get a palindrome (12055411455021).

The spelling of 10022301133020 in words is "ten trillion, twenty-two billion, three hundred one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1687256083 3374512166 5061768249 6749024332 8436280415 10123536498 15185304747 16872560830 18559816913 20247072996 25308841245 30370609494 33745121660 37119633826 45555914241 50617682490 55679450739 60741218988 74239267652 75926523735 91111828482 92799084565 101235364980 111358901478 151853047470 167038352217 182223656964 185598169130 222717802956 227779571205 278397253695 303706094940 334076704434 371196338260 455559142410 501115056651 556794507390 668153408868 835191761085 911118284820 1002230113302 1113589014780 1670383522170 2004460226604 2505575283255 3340767044340 5011150566510 10022301133020