Search a number
-
+
31123011311130 = 235107127517914741
BaseRepresentation
bin1110001001110011001000…
…00010001001011000011010
311002012022221011121020202110
413010321210002021120122
513034404411343424010
6150105414121013150
76361364143133334
oct704714402113032
9132168834536673
1031123011311130
119a0a216567752
1235a7a216241b6
131449b6c736c4b
1479850ca48454
1538e8aaa71120
hex1c4e6408961a

31123011311130 has 128 divisors (see below), whose sum is σ = 76006789447680. Its totient is φ = 8155036834560.

The previous prime is 31123011311087. The next prime is 31123011311201. The reversal of 31123011311130 is 3111311032113.

It is a junction number, because it is equal to n+sod(n) for n = 31123011311097 and 31123011311106.

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, 2111315560 + ... + 2111330300.

It is an arithmetic number, because the mean of its divisors is an integer number (593803042560).

Almost surely, 231123011311130 is an apocalyptic number.

31123011311130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31123011311130 is an abundant number, since it is smaller than the sum of its proper divisors (44883778136550).

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

31123011311130 is a wasteful number, since it uses less digits than its factorization.

31123011311130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20164.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 31123011311130 its reverse (3111311032113), we get a palindrome (34234322343243).

The spelling of 31123011311130 in words is "thirty-one trillion, one hundred twenty-three billion, eleven million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 107 127 214 254 321 381 535 635 642 762 1070 1270 1605 1905 3210 3810 5179 10358 13589 14741 15537 25895 27178 29482 31074 40767 44223 51790 67945 73705 77685 81534 88446 135890 147410 155370 203835 221115 407670 442230 554153 657733 1108306 1315466 1577287 1662459 1872107 1973199 2770765 3154574 3288665 3324918 3744214 3946398 4731861 5541530 5616321 6577330 7886435 8312295 9360535 9463722 9865995 11232642 15772870 16624590 18721070 19731990 23659305 28081605 47318610 56163210 70377431 76343639 140754862 152687278 200315449 211132293 229030917 351887155 381718195 400630898 422264586 458061834 600946347 703774310 763436390 1001577245 1055661465 1145154585 1201892694 2003154490 2111322930 2290309170 3004731735 6009463470 8168769373 9695642153 16337538746 19391284306 24506308119 29086926459 40843846865 48478210765 49012616238 58173852918 81687693730 96956421530 122531540595 145434632295 245063081190 290869264590 1037433710371 2074867420742 3112301131113 5187168551855 6224602262226 10374337103710 15561505655565 31123011311130