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1226042100 = 22325213110399
BaseRepresentation
bin100100100010011…
…1110101011110100
310011110000101120200
41021010332223310
510002331321400
6321354200500
742245120523
oct11104765364
93143011520
101226042100
1157a083638
122a2723130
13167011aca
14b8b8c4ba
1572981b00
hex4913eaf4

1226042100 has 108 divisors (see below), whose sum is σ = 3872668800. Its totient is φ = 324417600.

The previous prime is 1226042099. The next prime is 1226042107. The reversal of 1226042100 is 12406221.

1226042100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226042107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112701 + ... + 123099.

Almost surely, 21226042100 is an apocalyptic number.

1226042100 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 1226042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936334400).

1226042100 is an abundant number, since it is smaller than the sum of its proper divisors (2646626700).

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

1226042100 is a wasteful number, since it uses less digits than its factorization.

1226042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10550 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1226042100 is about 35014.8839781028. The cubic root of 1226042100 is about 1070.2908051688.

Adding to 1226042100 its reverse (12406221), we get a palindrome (1238448321).

The spelling of 1226042100 in words is "one billion, two hundred twenty-six million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 655 786 900 1179 1310 1572 1965 2358 2620 3275 3930 4716 5895 6550 7860 9825 10399 11790 13100 19650 20798 23580 29475 31197 39300 41596 51995 58950 62394 93591 103990 117900 124788 155985 187182 207980 259975 311970 374364 467955 519950 623940 779925 935910 1039900 1362269 1559850 1871820 2339775 2724538 3119700 4086807 4679550 5449076 6811345 8173614 9359100 12260421 13622690 16347228 20434035 24520842 27245380 34056725 40868070 49041684 61302105 68113450 81736140 102170175 122604210 136226900 204340350 245208420 306510525 408680700 613021050 1226042100