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21143240300 = 2252731347417
BaseRepresentation
bin10011101100001111…
…000011111001101100
32000120111201220010002
4103230033003321230
5321300132142200
613414005003432
71345643402000
oct235417037154
960514656102
1021143240300
118a6a898416
1241209b3578
131cbc4b7ca0
14104807c700
1583b2e3bd5
hex4ec3c3e6c

21143240300 has 144 divisors (see below), whose sum is σ = 57622353600. Its totient is φ = 6691345920.

The previous prime is 21143240297. The next prime is 21143240347. The reversal of 21143240300 is 304234112.

It is a super-2 number, since 2×211432403002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 422192 + ... + 469608.

Almost surely, 221143240300 is an apocalyptic number.

21143240300 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 21143240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28811176800).

21143240300 is an abundant number, since it is smaller than the sum of its proper divisors (36479113300).

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

21143240300 is a wasteful number, since it uses less digits than its factorization.

21143240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47465 (or 47444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21143240300 its reverse (304234112), we get a palindrome (21447474412).

The spelling of 21143240300 in words is "twenty-one billion, one hundred forty-three million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 343 350 364 455 490 637 650 686 700 910 980 1225 1274 1300 1372 1715 1820 2275 2450 2548 3185 3430 4459 4550 4900 6370 6860 8575 8918 9100 12740 15925 17150 17836 22295 31850 34300 44590 47417 63700 89180 94834 111475 189668 222950 237085 331919 445900 474170 616421 663838 948340 1185425 1232842 1327676 1659595 2323433 2370850 2465684 3082105 3319190 4314947 4646866 4741700 6164210 6638380 8297975 8629894 9293732 11617165 12328420 15410525 16264031 16595950 17259788 21574735 23234330 30204629 30821050 32528062 33191900 43149470 46468660 58085825 60409258 61642100 65056124 81320155 86298940 107873675 116171650 120818516 151023145 162640310 211432403 215747350 232343300 302046290 325280620 406600775 422864806 431494700 604092580 755115725 813201550 845729612 1057162015 1510231450 1626403100 2114324030 3020462900 4228648060 5285810075 10571620150 21143240300