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10023220032 = 263773102161
BaseRepresentation
bin10010101010110111…
…00011001101000000
3221212112110100000120
421111123203031000
5131011421020112
64334332220240
7503245651560
oct112533431500
927775410016
1010023220032
114283934621
121b3890a680
13c3975a437
146b1288da0
153d9e47e8c
hex2556e3340

10023220032 has 112 divisors (see below), whose sum is σ = 30723791232. Its totient is φ = 2824519680.

The previous prime is 10023219989. The next prime is 10023220073. The reversal of 10023220032 is 23002232001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10023219993 and 10023220020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47032 + ... + 149192.

Almost surely, 210023220032 is an apocalyptic number.

10023220032 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 10023220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361895616).

10023220032 is an abundant number, since it is smaller than the sum of its proper divisors (20700571200).

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

10023220032 is a wasteful number, since it uses less digits than its factorization.

10023220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102256 (or 102246 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10023220032 its reverse (23002232001), we get a palindrome (33025452033).

The spelling of 10023220032 in words is "ten billion, twenty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 98112 102161 204322 306483 408644 612966 715127 817288 1225932 1430254 1634576 2145381 2451864 2860508 3269152 4290762 4903728 5721016 6538304 7457753 8581524 9807456 11442032 14915506 17163048 19614912 22373259 22884064 29831012 34326096 44746518 45768128 52204271 59662024 68652192 89493036 104408542 119324048 137304384 156612813 178986072 208817084 238648096 313225626 357972144 417634168 477296192 626451252 715944288 835268336 1252902504 1431888576 1670536672 2505805008 3341073344 5011610016 10023220032