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22012121201000 = 2353728311111621
BaseRepresentation
bin1010000000101000110001…
…01010100011100101101000
32212221100010120111011111012
411000110120222203211220
510341121311011413000
6114452121234323052
74431215612026250
oct500243052434550
985840116434435
1022012121201000
117017319621607
12257611aa29488
13c38970b37398
1456156c878960
152828bc075735
hex140518aa3968

22012121201000 has 128 divisors (see below), whose sum is σ = 59074716130560. Its totient is φ = 7520344416000.

The previous prime is 22012121200997. The next prime is 22012121201017. The reversal of 22012121201000 is 10212121022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3574811 + ... + 7536810.

It is an arithmetic number, because the mean of its divisors is an integer number (461521219770).

Almost surely, 222012121201000 is an apocalyptic number.

22012121201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012121201000 is an abundant number, since it is smaller than the sum of its proper divisors (37062594929560).

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

22012121201000 is a wasteful number, since it uses less digits than its factorization.

22012121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111932 (or 11111918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22012121201000 its reverse (10212121022), we get a palindrome (22022333322022).

The spelling of 22012121201000 in words is "twenty-two trillion, twelve billion, one hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 283 350 500 566 700 875 1000 1132 1400 1415 1750 1981 2264 2830 3500 3962 5660 7000 7075 7924 9905 11320 14150 15848 19810 28300 35375 39620 49525 56600 70750 79240 99050 141500 198100 247625 283000 396200 495250 990500 1981000 11111621 22223242 44446484 55558105 77781347 88892968 111116210 155562694 222232420 277790525 311125388 388906735 444464840 555581050 622250776 777813470 1111162100 1388952625 1555626940 1944533675 2222324200 2777905250 3111253880 3144588743 3889067350 5555810500 6289177486 7778134700 9722668375 11111621000 12578354972 15556269400 15722943715 19445336750 22012121201 25156709944 31445887430 38890673500 44024242402 62891774860 77781347000 78614718575 88048484804 110060606005 125783549720 157229437150 176096969608 220121212010 314458874300 393073592875 440242424020 550303030025 628917748600 786147185750 880484848040 1100606060050 1572294371500 2201212120100 2751515150125 3144588743000 4402424240200 5503030300250 11006060600500 22012121201000