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213010102032 = 243713232120263
BaseRepresentation
bin1100011001100001100…
…1000011011100010000
3202100211001002100100020
43012120121003130100
511442221041231112
6241504441423440
721250405664430
oct3063031033420
9670731070306
10213010102032
1182378716442
123534879ab80
1317118819cc0
14a449d1a2c0
15581a71e48c
hex3198643710

213010102032 has 160 divisors (see below), whose sum is σ = 706709434368. Its totient is φ = 53735920128.

The previous prime is 213010101989. The next prime is 213010102043. The reversal of 213010102032 is 230201010312.

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, 959668 + ... + 1160595.

Almost surely, 2213010102032 is an apocalyptic number.

It is an amenable number.

213010102032 is an abundant number, since it is smaller than the sum of its proper divisors (493699332336).

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

213010102032 is a wasteful number, since it uses less digits than its factorization.

213010102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120317 (or 2120311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213010102032 its reverse (230201010312), we get a palindrome (443211112344).

The spelling of 213010102032 in words is "two hundred thirteen billion, ten million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1456 1794 1932 2093 2184 2392 2576 3588 3864 4186 4368 4784 6279 7176 7728 8372 12558 14352 16744 25116 33488 50232 100464 2120263 4240526 6360789 8481052 12721578 14841841 16962104 25443156 27563419 29683682 33924208 44525523 48766049 50886312 55126838 59367364 82690257 89051046 97532098 101772624 110253676 118734728 146298147 165380514 178102092 192943933 195064196 220507352 237469456 292596294 330761028 341362343 356204184 385887866 390128392 441014704 578831799 585192588 633958637 661522056 682724686 712408368 771775732 780256784 1024087029 1157663598 1170385176 1267917274 1323044112 1365449372 1543551464 1901875911 2048174058 2315327196 2340770352 2535834548 2730898744 3087102928 3803751822 4096348116 4437710459 4630654392 5071669096 5461797488 7607503644 8192696232 8875420918 9261308784 10143338192 13313131377 15215007288 16385392464 17750841836 26626262754 30430014576 35501683672 53252525508 71003367344 106505051016 213010102032