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210100001129100 = 223352531468204061
BaseRepresentation
bin101111110001010110110111…
…111011110100001010001100
31000112220100211022122000111000
4233301112313323310022030
5210014234300242112400
62022502335201500300
762153136613362345
oct5761266773641214
91015810738560430
10210100001129100
1160a42a01383805
121b692955341690
139030464230a34
1439c4c73dc90cc
1519452b3391600
hexbf15b7ef428c

210100001129100 has 144 divisors (see below), whose sum is σ = 688176607940640. Its totient is φ = 54969560006400.

The previous prime is 210100001129099. The next prime is 210100001129171. The reversal of 210100001129100 is 1921100001012.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733958931 + ... + 734245130.

It is an arithmetic number, because the mean of its divisors is an integer number (4779004221810).

Almost surely, 2210100001129100 is an apocalyptic number.

210100001129100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100001129100 is an abundant number, since it is smaller than the sum of its proper divisors (478076606811540).

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

210100001129100 is a wasteful number, since it uses less digits than its factorization.

210100001129100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468204137 (or 1468204124 counting only the distinct ones).

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

The spelling of 210100001129100 in words is "two hundred ten trillion, one hundred billion, one million, one hundred twenty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 53 54 60 75 90 100 106 108 135 150 159 180 212 225 265 270 300 318 450 477 530 540 636 675 795 900 954 1060 1325 1350 1431 1590 1908 2385 2650 2700 2862 3180 3975 4770 5300 5724 7155 7950 9540 11925 14310 15900 23850 28620 35775 47700 71550 143100 1468204061 2936408122 4404612183 5872816244 7341020305 8809224366 13213836549 14682040610 17618448732 22023060915 26427673098 29364081220 36705101525 39641509647 44046121830 52855346196 66069182745 73410203050 77814815233 79283019294 88092243660 110115304575 132138365490 146820406100 155629630466 158566038588 198207548235 220230609150 233444445699 264276730980 311259260932 330345913725 389074076165 396415096470 440461218300 466888891398 660691827450 700333337097 778148152330 792830192940 933777782796 991037741175 1167222228495 1321383654900 1400666674194 1556296304660 1945370380825 1982075482350 2101000011291 2334444456990 2801333348388 3501666685485 3890740761650 3964150964700 4202000022582 4668888913980 5836111142475 7003333370970 7781481523300 8404000045164 10505000056455 11672222284950 14006666741940 17508333427425 21010000112910 23344444569900 35016666854850 42020000225820 52525000282275 70033333709700 105050000564550 210100001129100