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100021212211100 = 225217219182154821
BaseRepresentation
bin10110101111100000000000…
…110100101110011110011100
3111010010221020020211111112212
4112233200000310232132130
5101102221420311223400
6552421035514015552
730032202611023265
oct2657400064563634
9433127206744485
10100021212211100
1129962837822354
12b2749457175b8
1343a6c629cc14b
141a9b0a40c596c
15b86babb89335
hex5af800d2e79c

100021212211100 has 108 divisors (see below), whose sum is σ = 242699441736360. Its totient is φ = 35673199948800.

The previous prime is 100021212211099. The next prime is 100021212211103. The reversal of 100021212211100 is 1112212120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021212211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90528311 + ... + 91626510.

Almost surely, 2100021212211100 is an apocalyptic number.

100021212211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021212211100 is an abundant number, since it is smaller than the sum of its proper divisors (142678229525260).

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

100021212211100 is a wasteful number, since it uses less digits than its factorization.

100021212211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182154888 (or 182154864 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100021212211100 its reverse (1112212120001), we get a palindrome (101133424331101).

The spelling of 100021212211100 in words is "one hundred trillion, twenty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 289 323 340 380 425 475 578 646 850 950 1156 1292 1445 1615 1700 1900 2890 3230 5491 5780 6460 7225 8075 10982 14450 16150 21964 27455 28900 32300 54910 109820 137275 274550 549100 182154821 364309642 728619284 910774105 1821548210 3096631957 3460941599 3643096420 4553870525 6193263914 6921883198 9107741050 12386527828 13843766396 15483159785 17304707995 18215482100 30966319570 34609415990 52642743269 58836007183 61932639140 69218831980 77415798925 86523539975 105285486538 117672014366 154831597850 173047079950 210570973076 235344028732 263213716345 294180035915 309663195700 346094159900 526427432690 588360071830 1000212122111 1052854865380 1176720143660 1316068581725 1470900179575 2000424244222 2632137163450 2941800359150 4000848488444 5001060610555 5264274326900 5883600718300 10002121221110 20004242442220 25005303052775 50010606105550 100021212211100