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1022113222000 = 245313226717341
BaseRepresentation
bin11101101111110101011…
…00100000110101110000
310121201020211100111100021
432313322230200311300
5113221241441101000
62101315145333224
7133562630016013
oct16677254406560
93551224314307
101022113222000
113645262a3982
12146113797214
13755007105a0
143768325b37a
151b8c2cac11a
hexedfab20d70

1022113222000 has 160 divisors (see below), whose sum is σ = 2662910437824. Its totient is φ = 377207424000.

The previous prime is 1022113221959. The next prime is 1022113222019. The reversal of 1022113222000 is 2223112201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 58933330 + ... + 58950670.

Almost surely, 21022113222000 is an apocalyptic number.

1022113222000 is a gapful number since it is divisible by the number (10) 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 1022113222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331455218912).

1022113222000 is an abundant number, since it is smaller than the sum of its proper divisors (1640797215824).

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

1022113222000 is a wasteful number, since it uses less digits than its factorization.

1022113222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19644 (or 19628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1022113222000 its reverse (2223112201), we get a palindrome (1024336334201).

The spelling of 1022113222000 in words is "one trillion, twenty-two billion, one hundred thirteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2267 2600 3250 4534 5200 6500 9068 11335 13000 17341 18136 22670 26000 29471 34682 36272 45340 56675 58942 69364 86705 90680 113350 117884 138728 147355 173410 181360 225433 226700 235768 277456 283375 294710 346820 433525 450866 453400 471536 566750 589420 693640 736775 867050 901732 906800 1127165 1133500 1178840 1387280 1473550 1734100 1803464 2167625 2254330 2267000 2357680 2947100 3468200 3606928 3683875 4335250 4508660 4534000 5635825 5894200 6936400 7367750 8670500 9017320 11271650 11788400 14735500 17341000 18034640 22543300 28179125 29471000 34682000 39312047 45086600 56358250 58942000 78624094 90173200 112716500 157248188 196560235 225433000 314496376 393120470 450866000 511056611 628992752 786240940 982801175 1022113222 1572481880 1965602350 2044226444 2555283055 3144963760 3931204700 4088452888 4914005875 5110566110 7862409400 8176905776 9828011750 10221132220 12776415275 15724818800 19656023500 20442264440 25552830550 39312047000 40884528880 51105661100 63882076375 78624094000 102211322200 127764152750 204422644400 255528305500 511056611000 1022113222000