Search a number
-
+
12313102002032 = 241332924150119
BaseRepresentation
bin1011001100101101111000…
…0100100010011101110000
31121121010021020201210111002
42303023132010202131300
53103214213103031112
642104321100341132
72410410101063456
oct263133604423560
947533236653432
1012313102002032
113a17a59095157
12146a440b447a8
136b4174a85000
14307d58c3c9d6
1516545a97e1c2
hexb32de122770

12313102002032 has 160 divisors (see below), whose sum is σ = 26846417136000. Its totient is φ = 5464128983040.

The previous prime is 12313102002031. The next prime is 12313102002043. The reversal of 12313102002032 is 23020020131321.

It is a super-2 number, since 2×123131020020322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313102001995 and 12313102002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313102002031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245652269 + ... + 245702387.

It is an arithmetic number, because the mean of its divisors is an integer number (167790107100).

Almost surely, 212313102002032 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 12313102002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423208568000).

12313102002032 is an abundant number, since it is smaller than the sum of its proper divisors (14533315133968).

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

12313102002032 is a wasteful number, since it uses less digits than its factorization.

12313102002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50436 (or 50404 counting only the distinct ones).

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

Adding to 12313102002032 its reverse (23020020131321), we get a palindrome (35333122133353).

The spelling of 12313102002032 in words is "twelve trillion, three hundred thirteen billion, one hundred two million, two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 241 338 377 464 482 676 754 964 1352 1508 1928 2197 2704 3016 3133 3856 4394 4901 6032 6266 6989 8788 9802 12532 13978 17576 19604 25064 27956 35152 39208 40729 50119 50128 55912 63713 78416 81458 90857 100238 111824 127426 162916 181714 200476 254852 325832 363428 400952 509704 529477 651547 651664 726856 801904 1019408 1058954 1181141 1303094 1453451 1453712 2117908 2362282 2606188 2906902 4235816 4724564 5212376 5813804 8470111 8471632 9449128 10424752 11627608 12078679 15354833 16940222 18894863 18898256 23255216 24157358 30709666 33880444 37789726 48314716 61419332 67760888 75579452 96629432 110111443 122838664 135521776 151158904 157022827 193258864 220222886 245633219 245677328 302317808 314045654 350281691 440445772 491266438 628091308 700563382 880891544 982532876 1256182616 1401126764 1761783088 1965065752 2041296751 2512365232 2802253528 3193231847 3930131504 4082593502 4553661983 5604507056 6386463694 8165187004 9107323966 12772927388 16330374008 18214647932 25545854776 26536857763 32660748016 36429295864 51091709552 53073715526 59197605779 72858591728 106147431052 118395211558 212294862104 236790423116 424589724208 473580846232 769568875127 947161692464 1539137750254 3078275500508 6156551001016 12313102002032