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101233030234024 = 23137937333300683
BaseRepresentation
bin10111000001001000100110…
…110011100111111110101000
3111021102210010221020101021001
4113001020212303213332220
5101232100221214442044
6555145451223524344
730215562601201543
oct2701104663477650
9437383127211231
10101233030234024
112a28a761477a37
12b42b780bb96b4
134464306834910
141add9c1dbb85a
15ba848414b2d4
hex5c1226ce7fa8

101233030234024 has 64 divisors (see below), whose sum is σ = 207055868140800. Its totient is φ = 46119135718656.

The previous prime is 101233030234019. The next prime is 101233030234027. The reversal of 101233030234024 is 420432030332101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101233030233983 and 101233030234001.

It is not an unprimeable number, because it can be changed into a prime (101233030234027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29019987 + ... + 32320669.

It is an arithmetic number, because the mean of its divisors is an integer number (3235247939700).

Almost surely, 2101233030234024 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 101233030234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103527934070400).

101233030234024 is an abundant number, since it is smaller than the sum of its proper divisors (105822837906776).

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

101233030234024 is a wasteful number, since it uses less digits than its factorization.

101233030234024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304514 (or 3304510 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 101233030234024 its reverse (420432030332101), we get a palindrome (521665060566125).

The spelling of 101233030234024 in words is "one hundred one trillion, two hundred thirty-three billion, thirty million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 3733 4108 7466 8216 14932 29864 48529 97058 194116 294907 388232 589814 1179628 2359256 3300683 3833791 6601366 7667582 13202732 15335164 26405464 30670328 42908879 85817758 171635516 260753957 343271032 521507914 1043015828 2086031656 3389801441 6779602882 12321449639 13559205764 24642899278 27118411528 49285798556 98571597112 160178845307 320357690614 640715381228 973394521481 1281430762456 1946789042962 3893578085924 7787156171848 12654128779253 25308257558506 50616515117012 101233030234024