Search a number
-
+
31233120220100 = 225223311951224527
BaseRepresentation
bin1110001101000000001110…
…00010010011001111000100
311002120212010211221101011002
413012200013002103033010
513043210412234020400
6150232144121032432
76402342556332551
oct706400702231704
9132525124841132
1031233120220100
119a5198a133777
123605230925718
131457369676716
1479d99649ba28
153926a24cced5
hex1c68070933c4

31233120220100 has 144 divisors (see below), whose sum is σ = 73041767694336. Its totient is φ = 11558598480000.

The previous prime is 31233120220097. The next prime is 31233120220117. The reversal of 31233120220100 is 102202133213.

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

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, 138994037 + ... + 139218563.

Almost surely, 231233120220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233120220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36520883847168).

31233120220100 is an abundant number, since it is smaller than the sum of its proper divisors (41808647474236).

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

31233120220100 is a wasteful number, since it uses less digits than its factorization.

31233120220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226546 (or 226539 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31233120220100 its reverse (102202133213), we get a palindrome (31335322353313).

The spelling of 31233120220100 in words is "thirty-one trillion, two hundred thirty-three billion, one hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 1150 1426 1550 1951 2300 2852 3100 3565 3902 7130 7804 9755 14260 17825 19510 35650 39020 44873 48775 60481 71300 89746 97550 120962 179492 195100 224365 224527 241924 302405 448730 449054 604810 897460 898108 1121825 1122635 1209620 1391063 1512025 2243650 2245270 2782126 3024050 4487300 4490540 5164121 5564252 5613175 6048100 6955315 6960337 10328242 11226350 13910630 13920674 20656484 22452700 25820605 27821260 27841348 34776575 34801685 51641210 69553150 69603370 103282420 129103025 139106300 139206740 160087751 174008425 258206050 320175502 348016850 438052177 516412100 640351004 696033700 800438755 876104354 1600877510 1752208708 2190260885 3201755020 4002193775 4380521770 8004387550 8761043540 10075200071 10951304425 13579617487 16008775100 20150400142 21902608850 27159234974 40300800284 43805217700 50376000355 54318469948 67898087435 100752000710 135796174870 201504001420 251880001775 271592349740 312331202201 339490437175 503760003550 624662404402 678980874350 1007520007100 1249324808804 1357961748700 1561656011005 3123312022010 6246624044020 7808280055025 15616560110050 31233120220100