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10123201032 = 2337314741357
BaseRepresentation
bin10010110110110001…
…11100101000001000
3222010111120220011120
421123120330220020
5131213014413112
64352303155240
7505601534430
oct113330745010
928114526146
1010123201032
11432531284a
121b662a5b20
13c543953a9
146c06732c0
153e3ae6e8c
hex25b63ca08

10123201032 has 128 divisors (see below), whose sum is σ = 30492426240. Its totient is φ = 2739421440.

The previous prime is 10123201019. The next prime is 10123201037. The reversal of 10123201032 is 23010232101.

It is not an unprimeable number, because it can be changed into a prime (10123201037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224098 + ... + 265454.

It is an arithmetic number, because the mean of its divisors is an integer number (238222080).

Almost surely, 210123201032 is an apocalyptic number.

10123201032 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 10123201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246213120).

10123201032 is an abundant number, since it is smaller than the sum of its proper divisors (20369225208).

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

10123201032 is a wasteful number, since it uses less digits than its factorization.

10123201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41451 (or 41447 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10123201032 its reverse (23010232101), we get a palindrome (33133433133).

The spelling of 10123201032 in words is "ten billion, one hundred twenty-three million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 47 56 62 84 93 94 124 141 168 186 188 217 248 282 329 372 376 434 564 651 658 744 868 987 1128 1302 1316 1457 1736 1974 2604 2632 2914 3948 4371 5208 5828 7896 8742 10199 11656 17484 20398 30597 34968 40796 41357 61194 81592 82714 122388 124071 165428 244776 248142 289499 330856 496284 578998 868497 992568 1157996 1282067 1736994 1943779 2315992 2564134 3473988 3846201 3887558 5128268 5831337 6947976 7692402 7775116 8974469 10256536 11662674 13606453 15384804 15550232 17948938 23325348 26923407 27212906 30769608 35897876 40819359 46650696 53846814 54425812 60257149 71795752 81638718 107693628 108851624 120514298 163277436 180771447 215387256 241028596 326554872 361542894 421800043 482057192 723085788 843600086 1265400129 1446171576 1687200172 2530800258 3374400344 5061600516 10123201032