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101245632032 = 2553593100669
BaseRepresentation
bin101111001001010110…
…1011011111000100000
3100200022222112000011102
41132102231123320200
53124322340211112
6114302301133532
710212650446526
oct1362255337040
9320288460142
10101245632032
1139a35579966
1217756b5a2a8
1397168c010c
144c8666c316
15297878abc2
hex1792b5be20

101245632032 has 48 divisors (see below), whose sum is σ = 203432727960. Its totient is φ = 49583419392.

The previous prime is 101245631989. The next prime is 101245632053. The reversal of 101245632032 is 230236542101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100968875536 + 276756496 = 317756^2 + 16636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101245631986 and 101245632004.

It is an unprimeable number.

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, 955394 + ... + 1056062.

Almost surely, 2101245632032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101245632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101716363980).

101245632032 is an abundant number, since it is smaller than the sum of its proper divisors (102187095928).

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

101245632032 is a wasteful number, since it uses less digits than its factorization.

101245632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101325 (or 101317 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 101245632032 in words is "one hundred one billion, two hundred forty-five million, six hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 593 848 1186 1696 2372 4744 9488 18976 31429 62858 100669 125716 201338 251432 402676 502864 805352 1005728 1610704 3221408 5335457 10670914 21341828 42683656 59696717 85367312 119393434 170734624 238786868 477573736 955147472 1910294944 3163926001 6327852002 12655704004 25311408008 50622816016 101245632032