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10323023012232 = 2337137853525809
BaseRepresentation
bin1001011000111000010000…
…0111101010000110001000
31100112212112020000111000020
42112032010013222012020
52323113022342342412
633542155321140440
72113546063552410
oct226160407520610
940485466014006
1010323023012232
11331aa73408157
1211a880762a720
1359b5c2a42798
142798cbc2d640
1512d7d395a18c
hex963841ea188

10323023012232 has 128 divisors (see below), whose sum is σ = 29744524857600. Its totient is φ = 2924468379648.

The previous prime is 10323023012191. The next prime is 10323023012257. The reversal of 10323023012232 is 23221032032301.

It is a super-2 number, since 2×103230230122322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19369744 + ... + 19895552.

It is an arithmetic number, because the mean of its divisors is an integer number (232379100450).

Almost surely, 210323023012232 is an apocalyptic number.

10323023012232 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 10323023012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872262428800).

10323023012232 is an abundant number, since it is smaller than the sum of its proper divisors (19421501845368).

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

10323023012232 is a wasteful number, since it uses less digits than its factorization.

10323023012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526815 (or 526811 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10323023012232 its reverse (23221032032301), we get a palindrome (33544055044533).

The spelling of 10323023012232 in words is "ten trillion, three hundred twenty-three billion, twenty-three million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 853 959 1096 1644 1706 1918 2559 2877 3288 3412 3836 5118 5754 5971 6824 7672 10236 11508 11942 17913 20472 23016 23884 35826 47768 71652 116861 143304 233722 350583 467444 525809 701166 818027 934888 1051618 1402332 1577427 1636054 2103236 2454081 2804664 3154854 3272108 3680663 4206472 4908162 6309708 6544216 7361326 9816324 11041989 12619416 14722652 19632648 22083978 29445304 44167956 72035833 88335912 144071666 216107499 288143332 432214998 448515077 504250831 576286664 864429996 897030154 1008501662 1345545231 1512752493 1728859992 1794060308 2017003324 2691090462 3025504986 3139605539 3588120616 4034006648 5382180924 6051009972 6279211078 9418816617 10764361848 12102019944 12558422156 18837633234 25116844312 37675266468 61446565549 75350532936 122893131098 184339696647 245786262196 368679393294 430125958843 491572524392 737358786588 860251917686 1290377876529 1474717573176 1720503835372 2580755753058 3441007670744 5161511506116 10323023012232