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10111022100032 = 26789253587031
BaseRepresentation
bin1001001100100010011111…
…1000010110111001000000
31022210121022111220021212012
42103020213320112321000
52311124333124200112
633300534525552052
72062332360542240
oct223104770267100
938717274807765
1010111022100032
113249073421aa7
121173700a15628
1358460832c839
1426d539d73b20
15128026b35022
hex93227e16e40

10111022100032 has 56 divisors (see below), whose sum is σ = 23187998206080. Its totient is φ = 4284606458880.

The previous prime is 10111022100031. The next prime is 10111022100041. The reversal of 10111022100032 is 23000122011101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×101110221000323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10111022100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126753644 + ... + 126833387.

Almost surely, 210111022100032 is an apocalyptic number.

It is an amenable number.

10111022100032 is an abundant number, since it is smaller than the sum of its proper divisors (13076976106048).

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

10111022100032 is an equidigital number, since it uses as much as digits as its factorization.

10111022100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253587139 (or 253587129 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10111022100032 its reverse (23000122011101), we get a palindrome (33111144111133).

The spelling of 10111022100032 in words is "ten trillion, one hundred eleven billion, twenty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 4984 5696 9968 19936 39872 253587031 507174062 1014348124 1775109217 2028696248 3550218434 4057392496 7100436868 8114784992 14200873736 16229569984 22569245759 28401747472 45138491518 56803494944 90276983036 113606989888 157984720313 180553966072 315969440626 361107932144 631938881252 722215864288 1263877762504 1444431728576 2527755525008 5055511050016 10111022100032