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10221330432 = 21332511657
BaseRepresentation
bin10011000010011110…
…10010000000000000
3222101100020101101210
421201033102000000
5131413130033212
64410130330120
7511202606115
oct114117220000
928340211353
1010221330432
114375746925
121b93129940
13c6b802621
146cd6d890c
153ec52c53c
hex2613d2000

10221330432 has 112 divisors (see below), whose sum is σ = 27380318112. Its totient is φ = 3391488000.

The previous prime is 10221330409. The next prime is 10221330439. The reversal of 10221330432 is 23403312201.

It is a junction number, because it is equal to n+sod(n) for n = 10221330399 and 10221330408.

It is not an unprimeable number, because it can be changed into a prime (10221330439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6167748 + ... + 6169404.

It is an arithmetic number, because the mean of its divisors is an integer number (244467126).

Almost surely, 210221330432 is an apocalyptic number.

10221330432 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 10221330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690159056).

10221330432 is an abundant number, since it is smaller than the sum of its proper divisors (17158987680).

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

10221330432 is an equidigital number, since it uses as much as digits as its factorization.

10221330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10221330432 its reverse (23403312201), we get a palindrome (33624642633).

The spelling of 10221330432 in words is "ten billion, two hundred twenty-one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 512 753 768 1004 1024 1506 1536 1657 2008 2048 3012 3072 3314 4016 4096 4971 6024 6144 6628 8032 8192 9942 12048 12288 13256 16064 19884 24096 24576 26512 32128 39768 48192 53024 64256 79536 96384 106048 128512 159072 192768 212096 257024 318144 385536 415907 424192 514048 636288 771072 831814 848384 1028096 1247721 1272576 1542144 1663628 1696768 2056192 2495442 2545152 3084288 3327256 3393536 4990884 5090304 6168576 6654512 6787072 9981768 10180608 13309024 13574144 19963536 20361216 26618048 39927072 40722432 53236096 79854144 106472192 159708288 212944384 319416576 425888768 638833152 851777536 1277666304 1703555072 2555332608 3407110144 5110665216 10221330432