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106523362000 = 2453118358337
BaseRepresentation
bin110001100110101001…
…0011000001011010000
3101011221210111110121201
41203031102120023100
53221124440041000
6120534113200544
710460514431416
oct1431522301320
9334853443551
10106523362000
11411a372a570
121878a560154
13a078150063
1452275872b6
152b86ca296a
hex18cd4982d0

106523362000 has 160 divisors (see below), whose sum is σ = 284379548544. Its totient is φ = 38268416000.

The previous prime is 106523361979. The next prime is 106523362007. The reversal of 106523362000 is 263325601.

It is a super-2 number, since 2×1065233620002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106523362000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106523362007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796832 + ... + 1855168.

Almost surely, 2106523362000 is an apocalyptic number.

106523362000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106523362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142189774272).

106523362000 is an abundant number, since it is smaller than the sum of its proper divisors (177856186544).

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

106523362000 is a wasteful number, since it uses less digits than its factorization.

106523362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58454 (or 58438 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 106523362000 its reverse (263325601), we get a palindrome (106786687601).

The spelling of 106523362000 in words is "one hundred six billion, five hundred twenty-three million, three hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 83 88 100 110 125 166 176 200 220 250 275 332 400 415 440 500 550 664 830 880 913 1000 1100 1328 1375 1660 1826 2000 2075 2200 2750 3320 3652 4150 4400 4565 5500 6640 7304 8300 9130 10375 11000 14608 16600 18260 20750 22000 22825 33200 36520 41500 45650 58337 73040 83000 91300 114125 116674 166000 182600 228250 233348 291685 365200 456500 466696 583370 641707 913000 933392 1166740 1283414 1458425 1826000 2333480 2566828 2916850 3208535 4666960 4841971 5133656 5833700 6417070 7292125 9683942 10267312 11667400 12834140 14584250 16042675 19367884 23334800 24209855 25668280 29168500 32085350 38735768 48419710 51336560 53261681 58337000 64170700 77471536 80213375 96839420 106523362 116674000 121049275 128341400 160426750 193678840 213046724 242098550 256682800 266308405 320853500 387357680 426093448 484197100 532616810 605246375 641707000 852186896 968394200 1065233620 1210492750 1283414000 1331542025 1936788400 2130467240 2420985500 2663084050 4260934480 4841971000 5326168100 6657710125 9683942000 10652336200 13315420250 21304672400 26630840500 53261681000 106523362000