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1034403130100 = 2252131787100333
BaseRepresentation
bin11110000110101110011…
…10110010101011110100
310122212222022222111211202
433003113032302223310
5113421424200130400
62111110452552032
7134506321350614
oct17032716625364
93585868874752
101034403130100
1136976266681a
12148583622618
137670b94b562
14380cb582a44
151bd91be64d5
hexf0d73b2af4

1034403130100 has 72 divisors (see below), whose sum is σ = 2264686071648. Its totient is φ = 410076950400.

The previous prime is 1034403130093. The next prime is 1034403130129. The reversal of 1034403130100 is 10313044301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10259534 + ... + 10359866.

Almost surely, 21034403130100 is an apocalyptic number.

1034403130100 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 1034403130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132343035824).

1034403130100 is an abundant number, since it is smaller than the sum of its proper divisors (1230282941548).

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

1034403130100 is a wasteful number, since it uses less digits than its factorization.

1034403130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101265 (or 101258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1034403130100 its reverse (10313044301), we get a palindrome (1044716174401).

The spelling of 1034403130100 in words is "one trillion, thirty-four billion, four hundred three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 787 1310 1574 2620 3148 3275 3935 6550 7870 13100 15740 19675 39350 78700 100333 103097 200666 206194 401332 412388 501665 515485 1003330 1030970 2006660 2061940 2508325 2577425 5016650 5154850 10033300 10309700 13143623 26287246 52574492 65718115 78962071 131436230 157924142 262872460 315848284 328590575 394810355 657181150 789620710 1314362300 1579241420 1974051775 3948103550 7896207100 10344031301 20688062602 41376125204 51720156505 103440313010 206880626020 258600782525 517201565050 1034403130100