Search a number
-
+
10113131211232 = 257312276415789
BaseRepresentation
bin1001001100101010010110…
…0101111110100111100000
31022210210202111120020111211
42103022211211332213200
52311143143042224412
633301524111315504
72062435550644420
oct223124545764740
938723674506454
1010113131211232
113249a55a13505
121173bab21bb94
1358488328a82a
1426d69a112480
151280ebd9bca7
hex932a597e9e0

10113131211232 has 96 divisors (see below), whose sum is σ = 23592040335360. Its totient is φ = 4175908093440.

The previous prime is 10113131211229. The next prime is 10113131211289. The reversal of 10113131211232 is 23211213131101.

10113131211232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631607 + ... + 4784182.

It is an arithmetic number, because the mean of its divisors is an integer number (245750420160).

Almost surely, 210113131211232 is an apocalyptic number.

It is an amenable number.

10113131211232 is an abundant number, since it is smaller than the sum of its proper divisors (13478909124128).

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

10113131211232 is a wasteful number, since it uses less digits than its factorization.

10113131211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416064 (or 6416056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10113131211232 its reverse (23211213131101), we get a palindrome (33324344342333).

The spelling of 10113131211232 in words is "ten trillion, one hundred thirteen billion, one hundred thirty-one million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 227 248 434 454 496 868 908 992 1589 1736 1816 3178 3472 3632 6356 6944 7037 7264 12712 14074 25424 28148 49259 50848 56296 98518 112592 197036 225184 394072 788144 1576288 6415789 12831578 25663156 44910523 51326312 89821046 102652624 179642092 198889459 205305248 359284184 397778918 718568368 795557836 1392226213 1437136736 1456384103 1591115672 2784452426 2912768206 3182231344 5568904852 5825536412 6364462688 10194688721 11137809704 11651072824 20389377442 22275619408 23302145648 40778754884 44551238816 45147907193 46604291296 81557509768 90295814386 163115019536 180591628772 316035350351 326230039072 361183257544 632070700702 722366515088 1264141401404 1444733030176 2528282802808 5056565605616 10113131211232