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10002022010112 = 2831110711064967
BaseRepresentation
bin1001000110001100011011…
…1110000000110100000000
31022102011222010000000020210
42101203012332000310000
52302333120113310422
633134510535434120
72051423300216436
oct221430676006400
938364863000223
1010002022010112
113206919744160
121156560b25940
1357725703ac02
142681598b6d56
1512529770210c
hex918c6f80d00

10002022010112 has 144 divisors (see below), whose sum is σ = 29311365791232. Its totient is φ = 3002589173760.

The previous prime is 10002022010087. The next prime is 10002022010119. The reversal of 10002022010112 is 21101022020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002022010119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4628548 + ... + 6436419.

It is an arithmetic number, because the mean of its divisors is an integer number (203551151328).

Almost surely, 210002022010112 is an apocalyptic number.

10002022010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002022010112 is an abundant number, since it is smaller than the sum of its proper divisors (19309343781120).

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

10002022010112 is a wasteful number, since it uses less digits than its factorization.

10002022010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11065104 (or 11065090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002022010112 its reverse (21101022020001), we get a palindrome (31103044030113).

The spelling of 10002022010112 in words is "ten trillion, two billion, twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 176 192 214 256 264 321 352 384 428 528 642 704 768 856 1056 1177 1284 1408 1712 2112 2354 2568 2816 3424 3531 4224 4708 5136 6848 7062 8448 9416 10272 13696 14124 18832 20544 27392 28248 37664 41088 56496 75328 82176 112992 150656 225984 301312 451968 903936 11064967 22129934 33194901 44259868 66389802 88519736 121714637 132779604 177039472 243429274 265559208 354078944 365143911 486858548 531118416 708157888 730287822 973717096 1062236832 1183951469 1416315776 1460575644 1947434192 2124473664 2367902938 2832631552 2921151288 3551854407 3894868384 4248947328 4735805876 5842302576 7103708814 7789736768 8497894656 9471611752 11684605152 13023466159 14207417628 15579473536 18943223504 23369210304 26046932318 28414835256 31158947072 37886447008 39070398477 46738420608 52093864636 56829670512 75772894016 78140796954 93476841216 104187729272 113659341024 151545788032 156281593908 208375458544 227318682048 303091576064 312563187816 416750917088 454637364096 625126375632 833501834176 909274728192 1250252751264 1667003668352 2500505502528 3334007336704 5001011005056 10002022010112