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211217196372 = 2237213231201381
BaseRepresentation
bin1100010010110110000…
…1101010010101010100
3202012012002102022010220
43010231201222111110
511430033100240442
6241010513314340
721155105355300
oct3045541522524
9665162368126
10211217196372
1181638667926
1234b282659b0
1316bc1242090
14a319b6cd00
155763117eec
hex312d86a554

211217196372 has 144 divisors (see below), whose sum is σ = 644248305792. Its totient is φ = 53283605760.

The previous prime is 211217196361. The next prime is 211217196373. The reversal of 211217196372 is 273691712112.

It is a super-2 number, since 2×2112171963722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211217196373) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 424879 + ... + 776502.

It is an arithmetic number, because the mean of its divisors is an integer number (4473946568).

Almost surely, 2211217196372 is an apocalyptic number.

It is an amenable number.

211217196372 is an abundant number, since it is smaller than the sum of its proper divisors (433031109420).

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

211217196372 is a wasteful number, since it uses less digits than its factorization.

211217196372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201438 (or 1201429 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The spelling of 211217196372 in words is "two hundred eleven billion, two hundred seventeen million, one hundred ninety-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 364 483 546 588 598 637 644 897 966 1092 1127 1196 1274 1794 1911 1932 2093 2254 2548 3381 3588 3822 4186 4508 6279 6762 7644 8372 12558 13524 14651 25116 29302 43953 58604 87906 175812 1201381 2402762 3604143 4805524 7208286 8409667 14416572 15617953 16819334 25229001 27631763 31235906 33638668 46853859 50458002 55263526 58867669 62471812 82895289 93707718 100916004 109325671 110527052 117735338 165790578 176603007 187415436 193422341 218651342 235470676 327977013 331581156 353206014 359212919 386844682 437302684 580267023 655954026 706412028 718425838 765279697 773689364 1077638757 1160534046 1311908052 1353956387 1436851676 1530559394 2155277514 2295839091 2321068092 2514490433 2707912774 3061118788 4061869161 4310555028 4591678182 5028980866 5415825548 7543471299 8123738322 9183356364 10057961732 15086942598 16247476644 17601433031 30173885196 35202866062 52804299093 70405732124 105608598186 211217196372