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1115402220200 = 235241191712171
BaseRepresentation
bin10000001110110011001…
…001110011001010101000
310221122001022001121210202
4100032303021303022220
5121233320432021300
62212224140331332
7143404464303422
oct20166311631250
93848038047722
101115402220200
113a0048524aa4
12160209b43b48
1381249a62338
143bdb2cad812
151e032c66ad5
hex103b32732a8

1115402220200 has 96 divisors (see below), whose sum is σ = 2670474078720. Its totient is φ = 432999360000.

The previous prime is 1115402220199. The next prime is 1115402220203. The reversal of 1115402220200 is 20222045111.

It is a super-2 number, since 2×11154022202002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1115402220203) 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, 1210115 + ... + 1922285.

It is an arithmetic number, because the mean of its divisors is an integer number (27817438320).

Almost surely, 21115402220200 is an apocalyptic number.

1115402220200 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 1115402220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335237039360).

1115402220200 is an abundant number, since it is smaller than the sum of its proper divisors (1555071858520).

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

1115402220200 is a wasteful number, since it uses less digits than its factorization.

1115402220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712419 (or 712410 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1115402220200 its reverse (20222045111), we get a palindrome (1135624265311).

The spelling of 1115402220200 in words is "one trillion, one hundred fifteen billion, four hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 191 200 205 328 382 410 764 820 955 1025 1528 1640 1910 2050 3820 4100 4775 7640 7831 8200 9550 15662 19100 31324 38200 39155 62648 78310 156620 195775 313240 391550 712171 783100 1424342 1566200 2848684 3560855 5697368 7121710 14243420 17804275 28486840 29199011 35608550 58398022 71217100 116796044 136024661 142434200 145995055 233592088 272049322 291990110 544098644 583980220 680123305 729975275 1088197288 1167960440 1360246610 1459950550 2720493220 2919901100 3400616525 5440986440 5577011101 5839802200 6801233050 11154022202 13602466100 22308044404 27204932200 27885055505 44616088808 55770111010 111540222020 139425277525 223080444040 278850555050 557701110100 1115402220200