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215034303100 = 225219415634903
BaseRepresentation
bin1100100001000100001…
…0110001001001111100
3202120001002222102012011
43020101002301021330
512010342240144400
6242441351221004
721351515263321
oct3102102611174
9676032872164
10215034303100
1183217292691
1235812677764
131737bcb8a06
14a59cab4b48
1558d82b28ba
hex32110b127c

215034303100 has 144 divisors (see below), whose sum is σ = 504160231680. Its totient is φ = 79341811200.

The previous prime is 215034303097. The next prime is 215034303109. The reversal of 215034303100 is 1303430512.

It is a super-2 number, since 2×2150343031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215034303109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43855249 + ... + 43860151.

It is an arithmetic number, because the mean of its divisors is an integer number (3501112720).

Almost surely, 2215034303100 is an apocalyptic number.

215034303100 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 215034303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252080115840).

215034303100 is an abundant number, since it is smaller than the sum of its proper divisors (289125928580).

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

215034303100 is a wasteful number, since it uses less digits than its factorization.

215034303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 215034303100 its reverse (1303430512), we get a palindrome (216337733612).

The spelling of 215034303100 in words is "two hundred fifteen billion, thirty-four million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 563 779 820 950 1025 1126 1558 1900 2050 2252 2815 3116 3895 4100 4903 5630 7790 9806 10697 11260 14075 15580 19475 19612 21394 23083 24515 28150 38950 42788 46166 49030 53485 56300 77900 92332 93157 98060 106970 115415 122575 186314 201023 213940 230830 245150 267425 372628 402046 438577 461660 465785 490300 534850 577075 804092 877154 931570 1005115 1069700 1154150 1754308 1863140 2010230 2192885 2308300 2328925 2760389 3819437 4020460 4385770 4657850 5025575 5520778 7638874 8771540 9315700 10051150 10964425 11041556 13801945 15277748 19097185 20102300 21928850 27603890 38194370 43857700 52447391 55207780 69009725 76388740 95485925 104894782 113175949 138019450 190971850 209789564 226351898 262236955 276038900 381943700 452703796 524473910 565879745 1048947820 1131759490 1311184775 2150343031 2263518980 2622369550 2829398725 4300686062 5244739100 5658797450 8601372124 10751715155 11317594900 21503430310 43006860620 53758575775 107517151550 215034303100