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13000033111032 = 23331143912463313
BaseRepresentation
bin1011110100101100111001…
…0110110000101111111000
31201000210100122210202002000
42331023032112300233320
53200443031434023112
643352044402141000
72511135640135122
oct275131626605770
951023318722060
1013000033111032
114162312865590
12155b5b0951760
13733b897ac446
1432d2c25a4212
151782625277dc
hexbd2ce5b0bf8

13000033111032 has 128 divisors (see below), whose sum is σ = 39483778752000. Its totient is φ = 3930430072320.

The previous prime is 13000033111001. The next prime is 13000033111069. The reversal of 13000033111032 is 23011133000031.

It is a happy number.

13000033111032 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 331 + 1 + 1 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13000033110996 and 13000033111014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5188593 + ... + 7274720.

It is an arithmetic number, because the mean of its divisors is an integer number (308467021500).

Almost surely, 213000033111032 is an apocalyptic number.

13000033111032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000033111032 is an abundant number, since it is smaller than the sum of its proper divisors (26483745640968).

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

13000033111032 is a wasteful number, since it uses less digits than its factorization.

13000033111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463778 (or 12463768 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13000033111032 its reverse (23011133000031), we get a palindrome (36011166111063).

The spelling of 13000033111032 in words is "thirteen trillion, thirty-three million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 439 594 792 878 1188 1317 1756 2376 2634 3512 3951 4829 5268 7902 9658 10536 11853 14487 15804 19316 23706 28974 31608 38632 43461 47412 57948 86922 94824 115896 130383 173844 260766 347688 521532 1043064 12463313 24926626 37389939 49853252 74779878 99706504 112169817 137096443 149559756 224339634 274192886 299119512 336509451 411289329 448679268 548385772 673018902 822578658 897358536 1096771544 1233867987 1346037804 1645157316 2467735974 2692075608 3290314632 3701603961 4935471948 5471394407 7403207922 9870943896 10942788814 14806415844 16414183221 21885577628 29612831688 32828366442 43771155256 49242549663 60185338477 65656732884 98485099326 120370676954 131313465768 147727648989 180556015431 196970198652 240741353908 295455297978 361112030862 393940397304 481482707816 541668046293 590910595956 722224061724 1083336092586 1181821191912 1444448123448 1625004138879 2166672185172 3250008277758 4333344370344 6500016555516 13000033111032