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11045453100 = 22352113978431
BaseRepresentation
bin10100100100101110…
…00011110100101100
31001111202222011011120
422102113003310230
5140110113444400
65024010220540
7540500542113
oct122227036454
931452864146
1011045453100
114758963440
122183124750
131070480286
1476ad42c7a
15449a6bca0
hex2925c3d2c

11045453100 has 144 divisors (see below), whose sum is σ = 34955429376. Its totient is φ = 2670624000.

The previous prime is 11045453099. The next prime is 11045453113. The reversal of 11045453100 is 135454011.

It is a happy number.

It is a super-2 number, since 2×110454531002 (a number of 21 digits) contains 22 as substring.

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, 1305885 + ... + 1314315.

Almost surely, 211045453100 is an apocalyptic number.

11045453100 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 11045453100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477714688).

11045453100 is an abundant number, since it is smaller than the sum of its proper divisors (23909976276).

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

11045453100 is a wasteful number, since it uses less digits than its factorization.

11045453100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11045453100 in words is "eleven billion, forty-five million, four hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 397 550 660 794 825 1100 1191 1588 1650 1985 2382 3300 3970 4367 4764 5955 7940 8431 8734 9925 11910 13101 16862 17468 19850 21835 23820 25293 26202 29775 33724 39700 42155 43670 50586 52404 59550 65505 84310 87340 92741 101172 109175 119100 126465 131010 168620 185482 210775 218350 252930 262020 278223 327525 370964 421550 436700 463705 505860 556446 632325 655050 843100 927410 1112892 1264650 1310100 1391115 1854820 2318525 2529300 2782230 3347107 4637050 5564460 6694214 6955575 9274100 10041321 13388428 13911150 16735535 20082642 27822300 33471070 36818177 40165284 50206605 66942140 73636354 83677675 100413210 110454531 147272708 167355350 184090885 200826420 220909062 251033025 334710700 368181770 441818124 502066050 552272655 736363540 920454425 1004132100 1104545310 1840908850 2209090620 2761363275 3681817700 5522726550 11045453100