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1022100222300 = 2235223148130467
BaseRepresentation
bin11101101111110011110…
…10111011000101011100
310121201012220220001002220
432313321322323011130
5113221230124103200
62101314002545340
7133562411354013
oct16677172730534
93551186801086
101022100222300
11364519a25023
1214610b368250
13754cab0b561
1437681635a7a
151b8c1a904a0
hexedf9ebb15c

1022100222300 has 72 divisors (see below), whose sum is σ = 3085853909376. Its totient is φ = 260709620160.

The previous prime is 1022100222257. The next prime is 1022100222301. The reversal of 1022100222300 is 32220012201.

It is a happy number.

It is a super-3 number, since 3×10221002223003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022100222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100222301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74058334 + ... + 74072133.

Almost surely, 21022100222300 is an apocalyptic number.

1022100222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100222300 is an abundant number, since it is smaller than the sum of its proper divisors (2063753687076).

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

1022100222300 is a wasteful number, since it uses less digits than its factorization.

1022100222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148130507 (or 148130500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1022100222300 its reverse (32220012201), we get a palindrome (1054320234501).

The spelling of 1022100222300 in words is "one trillion, twenty-two billion, one hundred million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 148130467 296260934 444391401 592521868 740652335 888782802 1481304670 1777565604 2221957005 2962609340 3407000741 3703261675 4443914010 6814001482 7406523350 8887828020 10221002223 11109785025 13628002964 14813046700 17035003705 20442004446 22219570050 34070007410 40884008892 44439140100 51105011115 68140014820 85175018525 102210022230 170350037050 204420044460 255525055575 340700074100 511050111150 1022100222300