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22113133102000 = 2453372631136221
BaseRepresentation
bin1010000011100100111010…
…11100011000001110110000
32220021222212021012101221201
411001302131130120032300
510344300144033231000
6115010344430100544
74441423024023403
oct501623534301660
986258767171851
1022113133102000
117056144169926
12259180b64a754
13c4534b18cbc5
145663d2063d3a
1528533004296a
hex141c9d7183b0

22113133102000 has 160 divisors (see below), whose sum is σ = 55123528546944. Its totient is φ = 8573461632000.

The previous prime is 22113133101979. The next prime is 22113133102003. The reversal of 22113133102000 is 20133131122.

It is a super-3 number, since 3×221131331020003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22113133102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18893890 + ... + 20030110.

Almost surely, 222113133102000 is an apocalyptic number.

22113133102000 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 22113133102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27561764273472).

22113133102000 is an abundant number, since it is smaller than the sum of its proper divisors (33010395444944).

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

22113133102000 is a wasteful number, since it uses less digits than its factorization.

22113133102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136544 (or 1136528 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22113133102000 its reverse (20133131122), we get a palindrome (22133266233122).

The spelling of 22113133102000 in words is "twenty-two trillion, one hundred thirteen billion, one hundred thirty-three million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 263 296 370 400 500 526 592 740 925 1000 1052 1315 1480 1850 2000 2104 2630 2960 3700 4208 4625 5260 6575 7400 9250 9731 10520 13150 14800 18500 19462 21040 26300 32875 37000 38924 48655 52600 65750 74000 77848 97310 105200 131500 155696 194620 243275 263000 389240 486550 526000 778480 973100 1136221 1216375 1946200 2272442 2432750 3892400 4544884 4865500 5681105 9089768 9731000 11362210 18179536 19462000 22724420 28405525 42040177 45448840 56811050 84080354 90897680 113622100 142027625 168160708 210200885 227244200 284055250 298826123 336321416 420401770 454488400 568110500 597652246 672642832 840803540 1051004425 1136221000 1195304492 1494130615 1681607080 2102008850 2272442000 2390608984 2988261230 3363214160 4204017700 4781217968 5255022125 5976522460 7470653075 8408035400 10510044250 11056566551 11953044920 14941306150 16816070800 21020088500 22113133102 23906089840 29882612300 37353265375 42040177000 44226266204 55282832755 59765224600 74706530750 84080354000 88452532408 110565665510 119530449200 149413061500 176905064816 221131331020 276414163775 298826123000 442262662040 552828327550 597652246000 884525324080 1105656655100 1382070818875 2211313310200 2764141637750 4422626620400 5528283275500 11056566551000 22113133102000