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901100102010012 = 2232163467328825927
BaseRepresentation
bin1100110011100010111011011…
…1011111001100010010011100
311101011112022212102212011201200
43030320232313133030102130
51421102111002103310022
612512251401100435500
7360542222360611122
oct31470566737142234
94334468772764650
10901100102010012
11241133452a54053
12850932a0b48b90
132c8a54b4b85358
1411c73698923912
156e29a3542cbac
hex3338bb77cc49c

901100102010012 has 72 divisors (see below), whose sum is σ = 2296662333952896. Its totient is φ = 297884721667104.

The previous prime is 901100102010007. The next prime is 901100102010019. The reversal of 901100102010012 is 210010201001109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901100102010019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161672608 + ... + 167153319.

It is an arithmetic number, because the mean of its divisors is an integer number (31898087971568).

Almost surely, 2901100102010012 is an apocalyptic number.

It is an amenable number.

901100102010012 is an abundant number, since it is smaller than the sum of its proper divisors (1395562231942884).

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

901100102010012 is a wasteful number, since it uses less digits than its factorization.

901100102010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328826567 (or 328826562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 901100102010012 in words is "nine hundred one trillion, one hundred billion, one hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 467 489 652 934 978 1401 1467 1868 1956 2802 2934 4203 5604 5868 8406 16812 76121 152242 228363 304484 456726 685089 913452 1370178 2740356 328825927 657651854 986477781 1315303708 1972955562 2959433343 3945911124 5918866686 11837733372 53598626101 107197252202 153561707909 160795878303 214394504404 307123415818 321591756606 460685123727 482387634909 614246831636 643183513212 921370247454 964775269818 1382055371181 1842740494908 1929550539636 2764110742362 5528221484724 25030558389167 50061116778334 75091675167501 100122233556668 150183350335002 225275025502503 300366700670004 450550051005006 901100102010012