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801002242200108 = 2231373101696409841
BaseRepresentation
bin1011011000100000011101111…
…0000111000101001000101100
310220001010001210111001020002010
42312020013132013011020230
51314442110043000400413
611515331203342401220
7330501334162663404
oct26610073607051054
93801101714036063
10801002242200108
11212251163700323
1275a07726290210
13284c425874ca60
14101b2a02ddd804
156290d8e778dc3
hex2d881de1c522c

801002242200108 has 96 divisors (see below), whose sum is σ = 2060548583067072. Its totient is φ = 240679240704000.

The previous prime is 801002242200059. The next prime is 801002242200179.

801002242200108 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×8010022422001083 (a number of 46 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347054733 + ... + 349355108.

It is an arithmetic number, because the mean of its divisors is an integer number (21464047740282).

Almost surely, 2801002242200108 is an apocalyptic number.

It is an amenable number.

801002242200108 is an abundant number, since it is smaller than the sum of its proper divisors (1259546340866964).

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

801002242200108 is a wasteful number, since it uses less digits than its factorization.

801002242200108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696410035 (or 696410033 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 801002242200108 in words is "eight hundred one trillion, two billion, two hundred forty-two million, two hundred thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 101 146 156 202 219 292 303 404 438 606 876 949 1212 1313 1898 2626 2847 3796 3939 5252 5694 7373 7878 11388 14746 15756 22119 29492 44238 88476 95849 191698 287547 383396 575094 1150188 696409841 1392819682 2089229523 2785639364 4178459046 8356918092 9053327933 18106655866 27159983799 36213311732 50837918393 54319967598 70337393941 101675836786 108639935196 140674787882 152513755179 203351673572 211012181823 281349575764 305027510358 422024363646 610055020716 660892939109 844048727292 914386121233 1321785878218 1828772242466 1982678817327 2643571756436 2743158363699 3657544484932 3965357634654 5134629757693 5486316727398 7930715269308 10269259515386 10972633454796 15403889273079 20538519030772 30807778546158 61615557092316 66750186850009 133500373700018 200250560550027 267000747400036 400501121100054 801002242200108