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10110201012 = 2232377996079
BaseRepresentation
bin10010110101001110…
…10110110010110100
3222002121010102111100
421122213112302310
5131201202413022
64351120410100
7505353201462
oct113247266264
928077112440
1010110201012
114318a4372a
121b61a76930
13c51793182
146bca4b832
153e28ca1ac
hex25a9d6cb4

10110201012 has 72 divisors (see below), whose sum is σ = 26579571200. Its totient is φ = 3237444288.

The previous prime is 10110201007. The next prime is 10110201047. The reversal of 10110201012 is 21010201101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110200985 and 10110201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57189 + ... + 153267.

Almost surely, 210110201012 is an apocalyptic number.

10110201012 is a gapful number since it is divisible by the number (12) 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 10110201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289785600).

10110201012 is an abundant number, since it is smaller than the sum of its proper divisors (16469370188).

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

10110201012 is a wasteful number, since it uses less digits than its factorization.

10110201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96205 (or 96200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110201012 its reverse (21010201101), we get a palindrome (31120402113).

The spelling of 10110201012 in words is "ten billion, one hundred ten million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1422 2844 2923 5846 8769 11692 17538 26307 35076 52614 96079 105228 192158 288237 384316 576474 864711 1152948 1729422 3458844 3554923 7109846 7590241 10664769 14219692 15180482 21329538 22770723 30360964 31994307 42659076 45541446 63988614 68312169 91082892 127977228 136624338 273248676 280838917 561677834 842516751 1123355668 1685033502 2527550253 3370067004 5055100506 10110201012