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203213230110 = 23451183274787
BaseRepresentation
bin1011110101000001110…
…0111101000000011110
3201102112021112200120000
42331100130331000132
511312140041330420
6233204352435130
720452545645552
oct2752034750036
9642467480500
10203213230110
1179200630580
1233473848aa6
1316216c40877
149b9ab51862
1554455d7690
hex2f5073d01e

203213230110 has 160 divisors (see below), whose sum is σ = 603276170112. Its totient is φ = 48670096320.

The previous prime is 203213230093. The next prime is 203213230147. The reversal of 203213230110 is 11032312302.

203213230110 is a `hidden beast` number, since 2 + 0 + 321 + 3 + 230 + 110 = 666.

203213230110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032132301102 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 602137 + ... + 876923.

Almost surely, 2203213230110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203213230110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301638085056).

203213230110 is an abundant number, since it is smaller than the sum of its proper divisors (400062940002).

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

203213230110 is a wasteful number, since it uses less digits than its factorization.

203213230110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274900 (or 274891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203213230110 its reverse (11032312302), we get a palindrome (214245542412).

The spelling of 203213230110 in words is "two hundred three billion, two hundred thirteen million, two hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 83 90 99 110 135 162 165 166 198 249 270 297 330 405 415 495 498 594 747 810 830 891 913 990 1245 1485 1494 1782 1826 2241 2490 2739 2970 3735 4455 4482 4565 5478 6723 7470 8217 8910 9130 11205 13446 13695 16434 22410 24651 27390 33615 41085 49302 67230 73953 82170 123255 147906 246510 274787 369765 549574 739530 824361 1373935 1648722 2473083 2747870 3022657 4121805 4946166 6045314 7419249 8243610 9067971 12365415 14838498 15113285 18135942 22257747 22807321 24730830 27203913 30226570 37096245 44515494 45339855 45614642 54407826 68421963 74192490 81611739 90679710 111288735 114036605 136019565 136843926 163223478 205265889 222577470 228073210 244835217 250880531 272039130 342109815 408058695 410531778 489670434 501761062 615797667 684219630 752641593 816117390 1026329445 1224176085 1231595334 1254402655 1505283186 1847393001 2052658890 2257924779 2448352170 2508805310 3078988335 3694786002 3763207965 4515849558 6157976670 6773774337 7526415930 9236965005 11289623895 13547548674 18473930010 20321323011 22579247790 33868871685 40642646022 67737743370 101606615055 203213230110