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11424201000 = 233537395153
BaseRepresentation
bin10101010001110111…
…10111100100101000
31002111011122112121120
422220323313210220
5141344043413000
65125340135240
7553050051312
oct125073674450
932434575546
1011424201000
114932733333
122269b37520
131100a90564
147a53747b2
1546ce336a0
hex2a8ef7928

11424201000 has 128 divisors (see below), whose sum is σ = 35698665600. Its totient is φ = 3041740800.

The previous prime is 11424200987. The next prime is 11424201017. The reversal of 11424201000 is 10242411.

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

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, 2214424 + ... + 2219576.

It is an arithmetic number, because the mean of its divisors is an integer number (278895825).

Almost surely, 211424201000 is an apocalyptic number.

11424201000 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 11424201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849332800).

11424201000 is an abundant number, since it is smaller than the sum of its proper divisors (24274464600).

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

11424201000 is a wasteful number, since it uses less digits than its factorization.

11424201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11424201000 its reverse (10242411), we get a palindrome (11434443411).

The spelling of 11424201000 in words is "eleven billion, four hundred twenty-four million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 739 750 1000 1478 1500 2217 2956 3000 3695 4434 5153 5912 7390 8868 10306 11085 14780 15459 17736 18475 20612 22170 25765 29560 30918 36950 41224 44340 51530 55425 61836 73900 77295 88680 92375 103060 110850 123672 128825 147800 154590 184750 206120 221700 257650 277125 309180 369500 386475 443400 515300 554250 618360 644125 739000 772950 1030600 1108500 1288250 1545900 1932375 2217000 2576500 3091800 3808067 3864750 5153000 7616134 7729500 11424201 15232268 15459000 19040335 22848402 30464536 38080670 45696804 57121005 76161340 91393608 95201675 114242010 152322680 190403350 228484020 285605025 380806700 456968040 476008375 571210050 761613400 952016750 1142420100 1428025125 1904033500 2284840200 2856050250 3808067000 5712100500 11424201000