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2230144131100 = 22521967109160723
BaseRepresentation
bin100000011100111110111…
…100101110000000011100
321220012101120122001112111
4200130332330232000130
5243014313344143400
64424303012243404
7320060023225144
oct40347674560034
97805346561474
102230144131100
1178a887249926
12300272910564
131323bca710c2
1479d221b7924
153d027a4b3ba
hex2073ef2e01c

2230144131100 has 144 divisors (see below), whose sum is σ = 5217615356800. Its totient is φ = 824851019520.

The previous prime is 2230144131041. The next prime is 2230144131161. The reversal of 2230144131100 is 11314410322.

It is a super-3 number, since 3×22301441311003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13795339 + ... + 13956061.

Almost surely, 22230144131100 is an apocalyptic number.

2230144131100 is a gapful number since it is divisible by the number (20) 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 2230144131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608807678400).

2230144131100 is an abundant number, since it is smaller than the sum of its proper divisors (2987471225700).

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

2230144131100 is a wasteful number, since it uses less digits than its factorization.

2230144131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160932 (or 160925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2230144131100 its reverse (11314410322), we get a palindrome (2241458541422).

The spelling of 2230144131100 in words is "two trillion, two hundred thirty billion, one hundred forty-four million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 109 134 190 218 268 335 380 436 475 545 670 950 1090 1273 1340 1675 1900 2071 2180 2546 2725 3350 4142 5092 5450 6365 6700 7303 8284 10355 10900 12730 14606 20710 25460 29212 31825 36515 41420 51775 63650 73030 103550 127300 138757 146060 160723 182575 207100 277514 321446 365150 555028 642892 693785 730300 803615 1387570 1607230 2775140 3053737 3214460 3468925 4018075 6107474 6937850 8036150 10768441 12214948 13875700 15268685 16072300 17518807 21536882 30537370 35037614 43073764 53842205 61074740 70075228 76343425 87594035 107684410 152686850 175188070 204600379 215368820 269211025 305373700 332857333 350376140 409200758 437970175 538422050 665714666 818401516 875940350 1023001895 1076844100 1173760069 1331429332 1664286665 1751880700 2046003790 2347520138 3328573330 4092007580 4695040276 5115009475 5868800345 6657146660 8321433325 10230018950 11737600690 16642866650 20460037900 22301441311 23475201380 29344001725 33285733300 44602882622 58688003450 89205765244 111507206555 117376006900 223014413110 446028826220 557536032775 1115072065550 2230144131100