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1012030123100 = 2252233251135347
BaseRepresentation
bin11101011101000011011…
…00100010110001011100
310120202020010012222221212
432232201230202301130
5113040114202414400
62052530433443552
7133055023053143
oct16564154426134
93522203188855
101012030123100
11360221691497
1214417aa105b8
1374584749389
1436da806675a
151b4d2987335
hexeba1b22c5c

1012030123100 has 72 divisors (see below), whose sum is σ = 2292310032768. Its totient is φ = 387089560000.

The previous prime is 1012030123009. The next prime is 1012030123141. The reversal of 1012030123100 is 13210302101.

1012030123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10120301231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7409627 + ... + 7544973.

It is an arithmetic number, because the mean of its divisors is an integer number (31837639344).

Almost surely, 21012030123100 is an apocalyptic number.

1012030123100 is a gapful number since it is divisible by the number (10) 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 1012030123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146155016384).

1012030123100 is an abundant number, since it is smaller than the sum of its proper divisors (1280279909668).

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

1012030123100 is a wasteful number, since it uses less digits than its factorization.

1012030123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138635 (or 138628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1012030123100 its reverse (13210302101), we get a palindrome (1025240425201).

The spelling of 1012030123100 in words is "one trillion, twelve billion, thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 3251 6502 13004 16255 32510 65020 74773 81275 135347 149546 162550 270694 299092 325100 373865 541388 676735 747730 1353470 1495460 1869325 2706940 3112981 3383675 3738650 6225962 6767350 7477300 12451924 13534700 15564905 31129810 62259620 77824525 155649050 311298100 440013097 880026194 1760052388 2200065485 4400130970 8800261940 10120301231 11000327425 20240602462 22000654850 40481204924 44001309700 50601506155 101203012310 202406024620 253007530775 506015061550 1012030123100