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10000202211120 = 2435113787955383
BaseRepresentation
bin1001000110000101101010…
…0000000001111100110000
31022102000021021201122100010
42101201122200001330300
52302320403231223440
633134010211054520
72051330222201142
oct221413240017460
938360237648303
1010000202211120
113206075497250
1211561335a1440
13577027008084
14268025d28c92
151251dca87580
hex9185a801f30

10000202211120 has 80 divisors (see below), whose sum is σ = 33818865668352. Its totient is φ = 2424291444480.

The previous prime is 10000202211119. The next prime is 10000202211149. The reversal of 10000202211120 is 2111220200001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000202211096 and 10000202211105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893975052 + ... + 1893980331.

Almost surely, 210000202211120 is an apocalyptic number.

10000202211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000202211120 is an abundant number, since it is smaller than the sum of its proper divisors (23818663457232).

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

10000202211120 is a wasteful number, since it uses less digits than its factorization.

10000202211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787955410 (or 3787955404 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000202211120 its reverse (2111220200001), we get a palindrome (12111422411121).

The spelling of 10000202211120 in words is "ten trillion, two hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3787955383 7575910766 11363866149 15151821532 18939776915 22727732298 30303643064 37879553830 41667509213 45455464596 56819330745 60607286128 75759107660 83335018426 90910929192 113638661490 125002527639 151518215320 166670036852 181821858384 208337546065 227277322980 250005055278 303036430640 333340073704 416675092130 454554645960 500010110556 625012638195 666680147408 833350184260 909109291920 1000020221112 1250025276390 1666700368520 2000040442224 2500050552780 3333400737040 5000101105560 10000202211120