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1023205353030 = 232572821157571
BaseRepresentation
bin11101110001110111100…
…10101010011001000110
310121211001221101111110200
432320323302222121012
5113231011032244110
62102015401431330
7133631660666340
oct16707362523106
93554057344420
101023205353030
11364a36824103
1214637949b546
1375645a67673
143774830c290
151b938adb6c0
hexee3bcaa646

1023205353030 has 96 divisors (see below), whose sum is σ = 3040542206208. Its totient is φ = 233863156800.

The previous prime is 1023205353019. The next prime is 1023205353059. The reversal of 1023205353030 is 303535023201.

1023205353030 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 5 + 35 + 303 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023205352985 and 1023205353003.

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, 17744145 + ... + 17801715.

It is an arithmetic number, because the mean of its divisors is an integer number (31672314648).

Almost surely, 21023205353030 is an apocalyptic number.

1023205353030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023205353030 is an abundant number, since it is smaller than the sum of its proper divisors (2017336853178).

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

1023205353030 is a wasteful number, since it uses less digits than its factorization.

1023205353030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85802 (or 85799 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 1023205353030 in words is "one trillion, twenty-three billion, two hundred five million, three hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 28211 56422 57571 84633 115142 141055 169266 172713 197477 253899 282110 287855 345426 394954 402997 423165 507798 518139 575710 592431 805994 846330 863565 987385 1036278 1184862 1208991 1269495 1727130 1777293 1974770 2014985 2417982 2538990 2590695 2962155 3554586 3626973 4029970 5181390 5924310 6044955 7253946 8886465 12089910 17772930 18134865 36269730 1624135481 3248270962 4872406443 8120677405 9744812886 11368948367 14617219329 16241354810 22737896734 24362032215 29234438658 34106845101 48724064430 56844741835 68213690202 73086096645 102320535303 113689483670 146172193290 170534225505 204641070606 341068451010 511602676515 1023205353030