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12002211010100 = 22523119120270581
BaseRepresentation
bin1010111010100111101110…
…0001100001011000110100
31120111101210201111001110102
42232221323201201120310
53033121012004310400
641305423431413232
72346062656206053
oct256517341413064
946441721431412
1012002211010100
113908122244483
12141a138224218
13690a5a7a779c
142d6ca54c439a
1515c3120b49d5
hexaea7b861634

12002211010100 has 72 divisors (see below), whose sum is σ = 27025712910336. Its totient is φ = 4621692240000.

The previous prime is 12002211010081. The next prime is 12002211010129. The reversal of 12002211010100 is 101011220021.

12002211010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9543191 + ... + 10727390.

Almost surely, 212002211010100 is an apocalyptic number.

12002211010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002211010100 is an abundant number, since it is smaller than the sum of its proper divisors (15023501900236).

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

12002211010100 is a wasteful number, since it uses less digits than its factorization.

12002211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20270817 (or 20270810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12002211010100 its reverse (101011220021), we get a palindrome (12103222230121).

The spelling of 12002211010100 in words is "twelve trillion, two billion, two hundred eleven million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 191 310 382 620 764 775 955 1550 1910 3100 3820 4775 5921 9550 11842 19100 23684 29605 59210 118420 148025 296050 592100 20270581 40541162 81082324 101352905 202705810 405411620 506764525 628388011 1013529050 1256776022 2027058100 2513552044 3141940055 3871680971 6283880110 7743361942 12567760220 15486723884 15709700275 19358404855 31419400550 38716809710 62838801100 77433619420 96792024275 120022110101 193584048550 240044220202 387168097100 480088440404 600110550505 1200221101010 2400442202020 3000552752525 6001105505050 12002211010100