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211013012304 = 243319199129187
BaseRepresentation
bin1100010010000101011…
…0110000101101010000
3202011122212012200021000
43010201112300231100
511424123312343204
6240534341102000
721150046003413
oct3044126605520
9664585180230
10211013012304
1181543387366
1234a8b9b7900
1316b8ab514c3
14a2da9bbb7a
155750234039
hex31215b0b50

211013012304 has 160 divisors (see below), whose sum is σ = 640772480000. Its totient is φ = 66300322176.

The previous prime is 211013012303. The next prime is 211013012311. The reversal of 211013012304 is 403210310112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211013012303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568799 + ... + 1697985.

It is an arithmetic number, because the mean of its divisors is an integer number (4004828000).

Almost surely, 2211013012304 is an apocalyptic number.

211013012304 is a gapful number since it is divisible by the number (24) 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 211013012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320386240000).

211013012304 is an abundant number, since it is smaller than the sum of its proper divisors (429759467696).

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

211013012304 is a wasteful number, since it uses less digits than its factorization.

211013012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129422 (or 129410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211013012304 its reverse (403210310112), we get a palindrome (614223322416).

The spelling of 211013012304 in words is "two hundred eleven billion, thirteen million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 199 216 228 304 342 398 432 456 513 597 684 796 912 1026 1194 1368 1592 1791 2052 2388 2736 3184 3582 3781 4104 4776 5373 7164 7562 8208 9552 10746 11343 14328 15124 21492 22686 28656 30248 34029 42984 45372 60496 68058 85968 90744 102087 129187 136116 181488 204174 258374 272232 387561 408348 516748 544464 775122 816696 1033496 1162683 1550244 1633392 2066992 2325366 2454553 3100488 3488049 4650732 4909106 6200976 6976098 7363659 9301464 9818212 13952196 14727318 18602928 19636424 22090977 25708213 27904392 29454636 39272848 44181954 51416426 55808784 58909272 66272931 77124639 88363908 102832852 117818544 132545862 154249278 176727816 205665704 231373917 265091724 308498556 353455632 411331408 462747834 488456047 530183448 616997112 694121751 925495668 976912094 1060366896 1233994224 1388243502 1465368141 1850991336 1953824188 2776487004 2930736282 3701982672 3907648376 4396104423 5552974008 5861472564 7815296752 8792208846 11105948016 11722945128 13188313269 17584417692 23445890256 26376626538 35168835384 52753253076 70337670768 105506506152 211013012304