Search a number
-
+
22121332040000 = 26541283431047
BaseRepresentation
bin1010000011110100001100…
…01000110110000101000000
32220022210000122221121111002
411001322012020312011000
510344413442000240000
6115014222153511132
74442133141605624
oct501720610660500
986283018847432
1022121332040000
117059671264346
1225933194124a8
13c460569a7acb
1456696cd15184
1528565ec378d5
hex141e86236140

22121332040000 has 140 divisors (see below), whose sum is σ = 54896595641184. Its totient is φ = 8841615552000.

The previous prime is 22121332039997. The next prime is 22121332040039. The reversal of 22121332040000 is 4023312122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51104477 + ... + 51535523.

Almost surely, 222121332040000 is an apocalyptic number.

22121332040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121332040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27448297820592).

22121332040000 is an abundant number, since it is smaller than the sum of its proper divisors (32775263601184).

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

22121332040000 is an equidigital number, since it uses as much as digits as its factorization.

22121332040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432362 (or 432337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22121332040000 its reverse (4023312122), we get a palindrome (22125355352122).

The spelling of 22121332040000 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirty-two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1283 1600 2000 2500 2566 4000 5000 5132 6415 8000 10000 10264 12830 20000 20528 25660 32075 40000 41056 51320 64150 82112 102640 128300 160375 205280 256600 320750 410560 431047 513200 641500 801875 862094 1026400 1283000 1603750 1724188 2052800 2155235 2566000 3207500 3448376 4310470 5132000 6415000 6896752 8620940 10264000 10776175 12830000 13793504 17241880 21552350 25660000 27587008 34483760 43104700 51320000 53880875 68967520 86209400 107761750 137935040 172418800 215523500 269404375 344837600 431047000 538808750 553033301 689675200 862094000 1077617500 1106066602 1724188000 2155235000 2212133204 2765166505 3448376000 4310470000 4424266408 5530333010 8620940000 8848532816 11060666020 13825832525 17241880000 17697065632 22121332040 27651665050 35394131264 44242664080 55303330100 69129162625 88485328160 110606660200 138258325250 176970656320 221213320400 276516650500 345645813125 442426640800 553033301000 691291626250 884853281600 1106066602000 1382583252500 2212133204000 2765166505000 4424266408000 5530333010000 11060666020000 22121332040000