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21094622142 = 23111731837307
BaseRepresentation
bin10011101001010101…
…100110001110111110
32000110010020211112120
4103221111212032332
5321200210402032
613405110543410
71344513221046
oct235125461676
960403224476
1021094622142
118a45400920
124108667b66
131cb23c4849
141041824726
15836ddd62c
hex4e95663be

21094622142 has 128 divisors (see below), whose sum is σ = 50916999168. Its totient is φ = 5751283200.

The previous prime is 21094622141. The next prime is 21094622161. The reversal of 21094622142 is 24122649012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21094622141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2883253 + ... + 2890559.

It is an arithmetic number, because the mean of its divisors is an integer number (397789056).

Almost surely, 221094622142 is an apocalyptic number.

21094622142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21094622142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25458499584).

21094622142 is an abundant number, since it is smaller than the sum of its proper divisors (29822377026).

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

21094622142 is a wasteful number, since it uses less digits than its factorization.

21094622142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 21094622142 in words is "twenty-one billion, ninety-four million, six hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 83 93 102 166 186 187 249 341 374 498 527 561 682 913 1023 1054 1122 1411 1581 1826 2046 2573 2739 2822 3162 4233 5146 5478 5797 7307 7719 8466 11594 14614 15438 15521 17391 21921 28303 31042 34782 43741 43842 46563 56606 80377 84909 87482 93126 124219 131223 160754 169818 226517 241131 248438 262446 372657 453034 481151 482262 606481 679551 745314 962302 1212962 1359102 1366409 1443453 1819443 2491687 2732818 2886906 3638886 3850789 4099227 4983374 6671291 7475061 7701578 8198454 10310177 11552367 13342582 14950122 18800911 20013873 20620354 23104734 30930531 37601822 40027746 42358679 56402733 61861062 84717358 112805466 113411947 127076037 206810021 226823894 254152074 319615487 340235841 413620042 620430063 639230974 680471682 958846461 1240860126 1917692922 3515770357 7031540714 10547311071 21094622142