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101012001036 = 223235311715897
BaseRepresentation
bin101111000010011001…
…0001101000100001100
3100122201200220022200120
41132010302031010030
53123333033013121
6114223153424540
710204112561562
oct1360462150414
9318650808616
10101012001036
11399257064a1
12176b086b150
1396aa38c21b
144c63613a32
152962edbbc6
hex1784c8d10c

101012001036 has 96 divisors (see below), whose sum is σ = 250839203328. Its totient is φ = 31566712320.

The previous prime is 101012001007. The next prime is 101012001037. The reversal of 101012001036 is 630100210101.

It is not an unprimeable number, because it can be changed into a prime (101012001037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17126440 + ... + 17132336.

It is an arithmetic number, because the mean of its divisors is an integer number (2612908368).

Almost surely, 2101012001036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012001036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125419601664).

101012001036 is an abundant number, since it is smaller than the sum of its proper divisors (149827202292).

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

101012001036 is a wasteful number, since it uses less digits than its factorization.

101012001036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101012001036 its reverse (630100210101), we get a palindrome (731112211137).

The spelling of 101012001036 in words is "one hundred one billion, twelve million, one thousand, thirty-six".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1171 1219 2342 2438 3513 3657 4684 4876 5897 7026 7314 11794 14052 14628 17691 23588 26933 35382 53866 62063 70764 80799 107732 124126 135631 161598 186189 248252 271262 312541 323196 372378 406893 542524 625082 744756 813786 937623 1250164 1427449 1627572 1875246 2854898 3750492 4282347 5709796 6905387 7188443 8564694 13810774 14376886 17129388 20716161 21565329 27621548 28753772 41432322 43130658 82864644 86261316 158823901 317647802 365985511 476471703 635295604 731971022 952943406 1097956533 1463942044 1905886812 2195913066 4391826132 8417666753 16835333506 25253000259 33670667012 50506000518 101012001036