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100213321111332 = 2231113223195315623
BaseRepresentation
bin10110110010010010111011…
…011010000001011100100100
3111010211022002122121210011220
4112302102323122001130210
5101113343340201030312
6553045210354300340
730052113342521442
oct2662227332013444
9433738078553156
10100213321111332
1129a2725a2364a0
12b2a601a5876b0
1343bc0ca216b00
141aa64ca169b92
15b8bba2474c8c
hex5b24bb681724

100213321111332 has 144 divisors (see below), whose sum is σ = 288229610124288. Its totient is φ = 26812928588160.

The previous prime is 100213321111307. The next prime is 100213321111333. The reversal of 100213321111332 is 233111123312001.

It is not an unprimeable number, because it can be changed into a prime (100213321111333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97144728 + ... + 98170895.

It is an arithmetic number, because the mean of its divisors is an integer number (2001594514752).

Almost surely, 2100213321111332 is an apocalyptic number.

100213321111332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100213321111332 is an abundant number, since it is smaller than the sum of its proper divisors (188016289012956).

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

100213321111332 is a wasteful number, since it uses less digits than its factorization.

100213321111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195315690 (or 195315675 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100213321111332 its reverse (233111123312001), we get a palindrome (333324444423333).

The spelling of 100213321111332 in words is "one hundred trillion, two hundred thirteen billion, three hundred twenty-one million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 169 253 276 286 299 338 429 506 507 572 598 676 759 858 897 1012 1014 1196 1518 1716 1794 1859 2028 3036 3289 3588 3718 3887 5577 6578 7436 7774 9867 11154 11661 13156 15548 19734 22308 23322 39468 42757 46644 85514 128271 171028 256542 513084 195315623 390631246 585946869 781262492 1171893738 2148471853 2343787476 2539103099 4296943706 4492259329 5078206198 6445415559 7617309297 8593887412 8984518658 10156412396 12890831118 13476777987 15234618594 17969037316 25781662236 26953555974 27930134089 30469237188 33008340287 49414852619 53907111948 55860268178 58399371277 66016680574 83790402267 98829705238 99025020861 111720536356 116798742554 132033361148 148244557857 167580804534 175198113831 197659410476 198050041722 233597485108 296489115714 335161609068 350396227662 363091743157 396100083444 592978231428 642393084047 700792455324 726183486314 759191826601 1089275229471 1284786168094 1452366972628 1518383653202 1927179252141 2178550458942 2277575479803 2569572336188 3036767306404 3854358504282 4357100917884 4555150959606 7708717008564 8351110092611 9110301919212 16702220185222 25053330277833 33404440370444 50106660555666 100213321111332