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141020022 = 231113247269
BaseRepresentation
bin10000110011111…
…00101101110110
3100211100120002210
420121330231312
5242100120042
621554314250
73331436043
oct1031745566
9324316083
10141020022
1172669480
123b288986
13232a6700
1414a2c1ca
15c5a8a9c
hex867cb76

141020022 has 96 divisors (see below), whose sum is σ = 341521920. Its totient is φ = 38463360.

The previous prime is 141019997. The next prime is 141020029. The reversal of 141020022 is 220020141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141020029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524104 + ... + 524372.

It is an arithmetic number, because the mean of its divisors is an integer number (3557520).

Almost surely, 2141020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170760960).

141020022 is an abundant number, since it is smaller than the sum of its proper divisors (200501898).

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

141020022 is a wasteful number, since it uses less digits than its factorization.

141020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 141020022 is about 11875.1851353989. The cubic root of 141020022 is about 520.5074213586.

Adding to 141020022 its reverse (220020141), we get a palindrome (361040163).

The spelling of 141020022 in words is "one hundred forty-one million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 169 269 282 286 338 429 507 517 538 611 807 858 1014 1034 1222 1551 1614 1833 1859 2959 3102 3497 3666 3718 5577 5918 6721 6994 7943 8877 10491 11154 12643 13442 15886 17754 20163 20982 23829 25286 37929 38467 40326 45461 47658 75858 76934 87373 90922 115401 136383 139073 164359 174746 230802 262119 272766 278146 328718 417219 493077 500071 524238 834438 986154 1000142 1500213 1807949 2136667 3000426 3615898 4273334 5423847 6410001 10847694 12820002 23503337 47006674 70510011 141020022