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10030011312 = 2433147173829
BaseRepresentation
bin10010101011101010…
…11101001110110000
3221220000020100220110
421111311131032300
5131020140330222
64335133541320
7503360455326
oct112565351660
927800210813
1010030011312
114287752a52
121b3b044840
13c3ac97649
146b2135d16
153da83a30c
hex255d5d3b0

10030011312 has 160 divisors (see below), whose sum is σ = 27506810880. Its totient is φ = 3144545280.

The previous prime is 10030011307. The next prime is 10030011323. The reversal of 10030011312 is 21311003001.

It is a super-2 number, since 2×100300113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12098514 + ... + 12099342.

It is an arithmetic number, because the mean of its divisors is an integer number (171917568).

Almost surely, 210030011312 is an apocalyptic number.

10030011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753405440).

10030011312 is an abundant number, since it is smaller than the sum of its proper divisors (17476799568).

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

10030011312 is a wasteful number, since it uses less digits than its factorization.

10030011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10030011312 its reverse (21311003001), we get a palindrome (31341014313).

The spelling of 10030011312 in words is "ten billion, thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 173 186 188 248 282 346 372 376 496 519 564 692 744 752 829 1038 1128 1384 1457 1488 1658 2076 2256 2487 2768 2914 3316 4152 4371 4974 5363 5828 6632 8131 8304 8742 9948 10726 11656 13264 16089 16262 17484 19896 21452 23312 24393 25699 32178 32524 34968 38963 39792 42904 48786 51398 64356 65048 69936 77097 77926 85808 97572 102796 116889 128712 130096 143417 154194 155852 195144 205592 233778 252061 257424 286834 308388 311704 390288 411184 430251 467556 504122 573668 616776 623408 756183 860502 935112 1008244 1147336 1207853 1233552 1512366 1721004 1870224 2016488 2294672 2415706 3024732 3442008 3623559 4032976 4445927 4831412 6049464 6740599 6884016 7247118 8891854 9662824 12098928 13337781 13481198 14494236 17783708 19325648 20221797 26675562 26962396 28988472 35567416 40443594 53351124 53924792 57976944 71134832 80887188 106702248 107849584 161774376 208958569 213404496 323548752 417917138 626875707 835834276 1253751414 1671668552 2507502828 3343337104 5015005656 10030011312