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21341244150 = 235524142841
BaseRepresentation
bin10011111000000010…
…011000101011110110
32001002022022112100000
4103320002120223312
5322201324303100
613445400532130
71353566403462
oct237002305366
961068275300
1021341244150
119061637666
124177181046
132021523825
1410664a14a2
1584d8a6900
hex4f8098af6

21341244150 has 144 divisors (see below), whose sum is σ = 60912070128. Its totient is φ = 5552064000.

The previous prime is 21341244139. The next prime is 21341244187. The reversal of 21341244150 is 5144214312.

21341244150 is a `hidden beast` number, since 213 + 4 + 1 + 2 + 441 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476730 + ... + 519570.

It is an arithmetic number, because the mean of its divisors is an integer number (423000487).

Almost surely, 221341244150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21341244150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30456035064).

21341244150 is an abundant number, since it is smaller than the sum of its proper divisors (39570825978).

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

21341244150 is a wasteful number, since it uses less digits than its factorization.

21341244150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42909 (or 42892 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21341244150 its reverse (5144214312), we get a palindrome (26485458462).

The spelling of 21341244150 in words is "twenty-one billion, three hundred forty-one million, two hundred forty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 81 82 90 123 135 150 162 205 225 243 246 270 369 405 410 450 486 615 675 738 810 1025 1107 1215 1230 1350 1845 2025 2050 2214 2430 3075 3321 3690 4050 5535 6075 6150 6642 9225 9963 11070 12150 16605 18450 19926 27675 33210 42841 49815 55350 83025 85682 99630 128523 166050 214205 249075 257046 385569 428410 498150 642615 771138 1071025 1156707 1285230 1756481 1927845 2142050 2313414 3213075 3470121 3512962 3855690 5269443 5783535 6426150 6940242 8782405 9639225 10410363 10538886 11567070 15808329 17350605 17564810 19278450 20820726 26347215 28917675 31616658 34701210 43912025 47424987 52051815 52694430 57835350 79041645 86753025 87824050 94849974 104103630 131736075 142274961 158083290 173506050 237124935 260259075 263472150 284549922 395208225 426824883 474249870 520518150 711374805 790416450 853649766 1185624675 1422749610 2134124415 2371249350 3556874025 4268248830 7113748050 10670622075 21341244150