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10221145412412 = 22311545771418783
BaseRepresentation
bin1001010010111100101110…
…1111011101001100111100
31100012010120012100012000110
42110233023233131030330
52314430401211144122
633423310202430020
72103311340341064
oct224571357351474
940163505305013
1010221145412412
113290844136570
121190b14b02310
13591b0824323c
142749c56963a4
1512ad1e98990c
hex94bcbbdd33c

10221145412412 has 48 divisors (see below), whose sum is σ = 26017956099072. Its totient is φ = 3097257857280.

The previous prime is 10221145412363. The next prime is 10221145412437. The reversal of 10221145412412 is 21421454112201.

It is a happy number.

It is a super-3 number, since 3×102211454124123 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221145412412.

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, 6494773 + ... + 7913555.

It is an arithmetic number, because the mean of its divisors is an integer number (542040752064).

Almost surely, 210221145412412 is an apocalyptic number.

10221145412412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221145412412 is an abundant number, since it is smaller than the sum of its proper divisors (15796810686660).

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

10221145412412 is a wasteful number, since it uses less digits than its factorization.

10221145412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473378 (or 1473376 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 10221145412412 its reverse (21421454112201), we get a palindrome (31642599524613).

The spelling of 10221145412412 in words is "ten trillion, two hundred twenty-one billion, one hundred forty-five million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 54577 109154 163731 218308 327462 600347 654924 1200694 1418783 1801041 2401388 2837566 3602082 4256349 5675132 7204164 8512698 15606613 17025396 31213226 46819839 62426452 93639678 187279356 77432919791 154865839582 232298759373 309731679164 464597518746 851762117701 929195037492 1703524235402 2555286353103 3407048470804 5110572706206 10221145412412