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21303303000100 = 225211411295336467
BaseRepresentation
bin1001101100000000011111…
…10011101101000000100100
32210102120112210222202012221
410312000033303231000210
510243013131032000400
6113150334032322124
74326053464522222
oct466001763550044
983376483882187
1021303303000100
116873753193080
1224808810a3344
13bb6b7b7a0bb4
1453912a363b12
1526e233c52c1a
hex13600fced024

21303303000100 has 144 divisors (see below), whose sum is σ = 51666151029696. Its totient is φ = 7556922112000.

The previous prime is 21303303000079. The next prime is 21303303000139. The reversal of 21303303000100 is 100030330312.

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 47 ways as a sum of consecutive naturals, for example, 584162067 + ... + 584198533.

It is an arithmetic number, because the mean of its divisors is an integer number (358792715484).

Almost surely, 221303303000100 is an apocalyptic number.

21303303000100 is a gapful number since it is divisible by the number (20) 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 21303303000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833075514848).

21303303000100 is an abundant number, since it is smaller than the sum of its proper divisors (30362848029596).

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

21303303000100 is a wasteful number, since it uses less digits than its factorization.

21303303000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49486 (or 49479 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 21303303000100 its reverse (100030330312), we get a palindrome (21403333330412).

The spelling of 21303303000100 in words is "twenty-one trillion, three hundred three billion, three hundred three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 12953 22550 25906 36467 45100 51812 64765 72934 129530 142483 145868 182335 259060 284966 323825 364670 401137 531073 569932 647650 712415 729340 802274 911675 1062146 1295300 1424830 1495147 1604548 1823350 2005685 2124292 2655365 2849660 2990294 3562075 3646700 4011370 5310730 5841803 5980588 7124150 7475735 8022740 10028425 10621460 11683606 13276825 14248300 14951470 16446617 20056850 23367212 26553650 29209015 29902940 32893234 37378675 40113700 53107300 58418030 65786468 74757350 82233085 116836060 146045075 149514700 164466170 292090150 328932340 411165425 472357051 584180300 822330850 944714102 1644661700 1889428204 2361785255 4723570510 5195927561 9447141020 10391855122 11808926275 19366639091 20783710244 23617852550 25979637805 38733278182 47235705100 51959275610 77466556364 96833195455 103918551220 129898189025 193666390910 213033030001 259796378050 387332781820 426066060002 484165977275 519592756100 852132120004 968331954550 1065165150005 1936663909100 2130330300010 4260660600020 5325825750025 10651651500050 21303303000100