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1010303004100 = 22521343109165811
BaseRepresentation
bin11101011001110101100…
…00000110110111000100
310120120202202100021002111
432230322300012313010
5113023100032112400
62052043215350404
7132664151561605
oct16547260066704
93516682307074
101010303004100
1135a515786415
12143978522404
137436a996280
1436c82921dac
151b4310283ba
hexeb3ac06dc4

1010303004100 has 144 divisors (see below), whose sum is σ = 2438086383040. Its totient is φ = 361014796800.

The previous prime is 1010303004071. The next prime is 1010303004121. The reversal of 1010303004100 is 14003030101.

1010303004100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6010195 + ... + 6176005.

Almost surely, 21010303004100 is an apocalyptic number.

1010303004100 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 1010303004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219043191520).

1010303004100 is an abundant number, since it is smaller than the sum of its proper divisors (1427783378940).

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

1010303004100 is a wasteful number, since it uses less digits than its factorization.

1010303004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165990 (or 165983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1010303004100 its reverse (14003030101), we get a palindrome (1024306034201).

The spelling of 1010303004100 in words is "one trillion, ten billion, three hundred three million, four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 109 130 172 215 218 260 325 430 436 545 559 650 860 1075 1090 1118 1300 1417 2150 2180 2236 2725 2795 2834 4300 4687 5450 5590 5668 7085 9374 10900 11180 13975 14170 18748 23435 27950 28340 35425 46870 55900 60931 70850 93740 117175 121862 141700 165811 234350 243724 304655 331622 468700 609310 663244 829055 1218620 1523275 1658110 2155543 3046550 3316220 4145275 4311086 6093100 7129873 8290550 8622172 10777715 14259746 16581100 18073399 21555430 28519492 35649365 36146798 43110860 53888575 71298730 72293596 90366995 92688349 107777150 142597460 178246825 180733990 185376698 215554300 234954187 356493650 361467980 370753396 451834975 463441745 469908374 712987300 777156157 903669950 926883490 939816748 1174770935 1554312314 1807339900 1853766980 2317208725 2349541870 3108624628 3885780785 4634417450 4699083740 5873854675 7771561570 9268834900 10103030041 11747709350 15543123140 19428903925 20206060082 23495418700 38857807850 40412120164 50515150205 77715615700 101030300410 202060600820 252575751025 505151502050 1010303004100