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101010010011150 = 235215110883409777
BaseRepresentation
bin10110111101111000111001…
…110000111111011000001110
3111020122110111021100012121110
4112331320321300333120032
5101214422000030324100
6554455205154312450
730163506132450252
oct2675707160773016
9436573437305543
10101010010011150
112a204117364659
12b3b44bbb88726
1344492841c58b6
141ad2ca6866262
15ba277ec20250
hex5bde39c3f60e

101010010011150 has 96 divisors (see below), whose sum is σ = 252187583033088. Its totient is φ = 26755094592000.

The previous prime is 101010010010981. The next prime is 101010010011151. The reversal of 101010010011150 is 51110010010101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010010011151) 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, 246295062 + ... + 246704838.

It is an arithmetic number, because the mean of its divisors is an integer number (2626953989928).

Almost surely, 2101010010011150 is an apocalyptic number.

101010010011150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010010011150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126093791516544).

101010010011150 is an abundant number, since it is smaller than the sum of its proper divisors (151177573021938).

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

101010010011150 is a wasteful number, since it uses less digits than its factorization.

101010010011150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420826 (or 420821 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 12.

Adding to 101010010011150 its reverse (51110010010101), we get a palindrome (152120020021251).

The spelling of 101010010011150 in words is "one hundred one trillion, ten billion, ten million, eleven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 151 302 453 755 906 1510 2265 3775 4530 7550 10883 11325 21766 22650 32649 54415 65298 108830 163245 272075 326490 409777 544150 816225 819554 1229331 1632450 1643333 2048885 2458662 3286666 4097770 4929999 6146655 8216665 9859998 10244425 12293310 16433330 20488850 24649995 30733275 41083325 49299990 61466550 61876327 82166650 123249975 123752654 185628981 246499950 309381635 371257962 618763270 928144905 1546908175 1856289810 3093816350 4459603091 4640724525 8919206182 9281449050 13378809273 22298015455 26757618546 44596030910 66894046365 111490077275 133788092730 222980154550 334470231825 668940463650 673400066741 1346800133482 2020200200223 3367000333705 4040400400446 6734000667410 10101001001115 16835001668525 20202002002230 33670003337050 50505005005575 101010010011150