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21114215100 = 223252112132749
BaseRepresentation
bin10011101010100000…
…010101101010111100
32000111111010021000200
4103222200111222330
5321220214340400
613411050523500
71345141603266
oct235240255274
960444107020
1021114215100
118a55473350
124113136590
131cb6494904
141044284b36
158389adb00
hex4ea815abc

21114215100 has 108 divisors (see below), whose sum is σ = 72197853000. Its totient is φ = 5118595200.

The previous prime is 21114215077. The next prime is 21114215123. The reversal of 21114215100 is 151241112.

21114215100 is a `hidden beast` number, since 2 + 11 + 142 + 1 + 510 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21114215077) and next prime (21114215123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1056475 + ... + 1076274.

Almost surely, 221114215100 is an apocalyptic number.

21114215100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114215100 is an abundant number, since it is smaller than the sum of its proper divisors (51083637900).

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

21114215100 is a wasteful number, since it uses less digits than its factorization.

21114215100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132780 (or 2132770 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 21114215100 its reverse (151241112), we get a palindrome (21265456212).

The spelling of 21114215100 in words is "twenty-one billion, one hundred fourteen million, two hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2132749 4265498 6398247 8530996 10663745 12796494 19194741 21327490 23460239 25592988 31991235 38389482 42654980 46920478 53318725 63982470 70380717 76778964 93840956 95973705 106637450 117301195 127964940 140761434 159956175 191947410 211142151 213274900 234602390 281522868 319912350 351903585 383894820 422284302 469204780 479868525 586505975 639824700 703807170 844568604 959737050 1055710755 1173011950 1407614340 1759517925 1919474100 2111421510 2346023900 3519035850 4222843020 5278553775 7038071700 10557107550 21114215100