Search a number
-
+
31322001100110 = 23571930412581429
BaseRepresentation
bin1110001111100101110001…
…01111111100110101001110
311002220100120002222220020220
413013302320233330311032
513101134424240200420
6150341043442452210
76411640246340610
oct707627057746516
9132810502886226
1031322001100110
119a8664a070406
12361a4b6964066
131462862682306
147a3dc88c0db0
15394b55498840
hex1c7cb8bfcd4e

31322001100110 has 128 divisors (see below), whose sum is σ = 90463219891200. Its totient is φ = 6780275527680.

The previous prime is 31322001100097. The next prime is 31322001100123. The reversal of 31322001100110 is 1100110022313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31322001100097) and next prime (31322001100123).

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

31322001100110 is a modest number, since divided by 1100110 gives 313220 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 31322001100110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10842876 + ... + 13424304.

It is an arithmetic number, because the mean of its divisors is an integer number (706743905400).

Almost surely, 231322001100110 is an apocalyptic number.

31322001100110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322001100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45231609945600).

31322001100110 is an abundant number, since it is smaller than the sum of its proper divisors (59141218791090).

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

31322001100110 is a wasteful number, since it uses less digits than its factorization.

31322001100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584506.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31322001100110 its reverse (1100110022313), we get a palindrome (32422111122423).

The spelling of 31322001100110 in words is "thirty-one trillion, three hundred twenty-two billion, one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3041 3990 6082 9123 15205 18246 21287 30410 42574 45615 57779 63861 91230 106435 115558 127722 173337 212870 288895 319305 346674 404453 577790 638610 808906 866685 1213359 1733370 2022265 2426718 2581429 4044530 5162858 6066795 7744287 12133590 12907145 15488574 18070003 25814290 36140006 38721435 49047151 54210009 77442870 90350015 98094302 108420018 147141453 180700030 245235755 271050045 294282906 343330057 490471510 542100090 686660114 735707265 1029990171 1471414530 1716650285 2059980342 3433300570 5149950855 7850125589 10299901710 15700251178 23550376767 39250627945 47100753534 54950879123 78501255890 109901758246 117751883835 149152386191 164852637369 235503767670 274754395615 298304772382 329705274738 447457158573 549508791230 745761930955 824263186845 894914317146 1044066703337 1491523861910 1648526373690 2088133406674 2237285792865 3132200110011 4474571585730 5220333516685 6264400220022 10440667033370 15661000550055 31322001100110