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10001223012 = 22311172409641
BaseRepresentation
bin10010101000001111…
…01000110101100100
3221211000001202210010
421110013220311210
5130440303114022
64332224530220
7502560664404
oct112407506544
927730052703
1010001223012
11427247a970
121b31480970
13c35028051
146ac3a0804
153d805050c
hex2541e8d64

10001223012 has 144 divisors (see below), whose sum is σ = 27151669440. Its totient is φ = 2840985600.

The previous prime is 10001222999. The next prime is 10001223017. The reversal of 10001223012 is 21032210001.

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

It is not an unprimeable number, because it can be changed into a prime (10001223017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15602212 + ... + 15602852.

It is an arithmetic number, because the mean of its divisors is an integer number (188553260).

Almost surely, 210001223012 is an apocalyptic number.

10001223012 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 10001223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575834720).

10001223012 is an abundant number, since it is smaller than the sum of its proper divisors (17150446428).

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

10001223012 is a wasteful number, since it uses less digits than its factorization.

10001223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001223012 its reverse (21032210001), we get a palindrome (31033433013).

The spelling of 10001223012 in words is "ten billion, one million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 409 561 578 641 748 818 867 1122 1156 1227 1282 1636 1734 1923 2244 2454 2564 3179 3468 3846 4499 4908 6358 6953 7051 7692 8998 9537 10897 12716 13497 13906 14102 17996 19074 20859 21153 21794 26994 27812 28204 32691 38148 41718 42306 43588 53988 65382 76483 83436 84612 118201 119867 130764 152966 185249 229449 236402 239734 262169 305932 354603 359601 370498 458898 472804 479468 524338 555747 709206 719202 740996 786507 917796 1048676 1111494 1300211 1418412 1438404 1573014 2037739 2222988 2600422 2883859 3146028 3900633 4075478 4456873 5200844 5767718 6113217 7801266 8150956 8651577 8913746 11535436 12226434 13370619 15602532 17303154 17827492 24452868 26741238 34606308 49025603 53482476 75766841 98051206 147076809 151533682 196102412 227300523 294153618 303067364 454601046 588307236 833435251 909202092 1666870502 2500305753 3333741004 5000611506 10001223012