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200921098312 = 2311171931228023
BaseRepresentation
bin1011101100011111010…
…1001010100001001000
3201012121112111022211201
42323013311022201020
511242441300121222
6232145112233544
720342004104554
oct2730765124110
9635545438751
10200921098312
11782347a3a80
1232b3409b8b4
1315c400c1b6c
149a20570864
15535e26c427
hex2ec7d4a848

200921098312 has 128 divisors (see below), whose sum is σ = 472830566400. Its totient is φ = 78804403200.

The previous prime is 200921098291. The next prime is 200921098327. The reversal of 200921098312 is 213890129002.

It is a super-3 number, since 3×2009210983123 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767133 + ... + 995155.

It is an arithmetic number, because the mean of its divisors is an integer number (3693988800).

Almost surely, 2200921098312 is an apocalyptic number.

200921098312 is a gapful number since it is divisible by the number (22) 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 200921098312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236415283200).

200921098312 is an abundant number, since it is smaller than the sum of its proper divisors (271909468088).

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

200921098312 is a wasteful number, since it uses less digits than its factorization.

200921098312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228107 (or 228103 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 200921098312 in words is "two hundred billion, nine hundred twenty-one million, ninety-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 19 22 31 34 38 44 62 68 76 88 124 136 152 187 209 248 323 341 374 418 527 589 646 682 748 836 1054 1178 1292 1364 1496 1672 2108 2356 2584 2728 3553 4216 4712 5797 6479 7106 10013 11594 12958 14212 20026 23188 25916 28424 40052 46376 51832 80104 110143 220286 228023 440572 456046 881144 912092 1824184 2508253 3876391 4332437 5016506 7068713 7752782 8664874 10033012 14137426 15505564 17329748 20066024 28274852 31011128 34659496 42640301 47656807 56549704 73651429 77755843 85280602 95313614 120168121 134305547 147302858 155511686 170561204 190627228 240336242 268611094 294605716 311023372 341122408 381254456 480672484 537222188 589211432 622046744 810165719 961344968 1074444376 1321849331 1477361017 1620331438 2283194299 2643698662 2954722034 3240662876 4566388598 5287397324 5909444068 6481325752 9132777196 10574794648 11818888136 18265554392 25115137289 50230274578 100460549156 200921098312