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21354025030100 = 22527316116132073
BaseRepresentation
bin1001101101011110111110…
…00100111001000111010100
32210121102110201102211210122
410312233133010321013110
510244331020401430400
6113225523105411112
74332530434621550
oct466573704710724
983542421384718
1021354025030100
116893211481a34
12248a677939a98
13bbb8a2cc43b9
1453b77c924860
15270701bbc685
hex136bdf1391d4

21354025030100 has 144 divisors (see below), whose sum is σ = 55562476440576. Its totient is φ = 6969055104000.

The previous prime is 21354025030073. The next prime is 21354025030139. The reversal of 21354025030100 is 103052045312.

It is a happy number.

It is a super-2 number, since 2×213540250301002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21354025030100.

It is a congruent number.

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, 6742337 + ... + 9389736.

Almost surely, 221354025030100 is an apocalyptic number.

21354025030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21354025030100 is an abundant number, since it is smaller than the sum of its proper divisors (34208451410476).

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

21354025030100 is a wasteful number, since it uses less digits than its factorization.

21354025030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132186 (or 16132179 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 21354025030100 its reverse (103052045312), we get a palindrome (21457077075412).

The spelling of 21354025030100 in words is "twenty-one trillion, three hundred fifty-four billion, twenty-five million, thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 61 62 70 100 122 124 140 155 175 217 244 305 310 350 427 434 610 620 700 775 854 868 1085 1220 1525 1550 1708 1891 2135 2170 3050 3100 3782 4270 4340 5425 6100 7564 8540 9455 10675 10850 13237 18910 21350 21700 26474 37820 42700 47275 52948 66185 94550 132370 189100 264740 330925 661850 1323700 16132073 32264146 64528292 80660365 112924511 161320730 225849022 322641460 403301825 451698044 500094263 564622555 806603650 984056453 1000188526 1129245110 1613207300 1968112906 2000377052 2258490220 2500471315 2823112775 3500659841 3936225812 4920282265 5000942630 5646225550 6888395171 7001319682 9840564530 10001885260 11292451100 12502356575 13776790342 14002639364 17503299205 19681129060 24601411325 25004713150 27553580684 30505750043 34441975855 35006598410 49202822650 50009426300 61011500086 68883951710 70013196820 87516496025 98405645300 122023000172 137767903420 152528750215 172209879275 175032992050 213540250301 305057500430 344419758550 350065984100 427080500602 610115000860 688839517100 762643751075 854161001204 1067701251505 1525287502150 2135402503010 3050575004300 4270805006020 5338506257525 10677012515050 21354025030100