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2100212111120 = 245291316910411
BaseRepresentation
bin11110100011111110011…
…001011001011100010000
321102210000101121112222012
4132203332121121130100
5233402213300023440
64244454002202052
7304510133252234
oct36437631313420
97383011545865
102100212111120
1173a770a91132
1229b050953328
13123083cab846
1473917b665c4
1539970b64e65
hex1e8fe659710

2100212111120 has 80 divisors (see below), whose sum is σ = 5089933062720. Its totient is φ = 804924556800.

The previous prime is 2100212111119. The next prime is 2100212111131. The reversal of 2100212111120 is 211112120012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100212111095 and 2100212111104.

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, 3151286 + ... + 3759125.

It is an arithmetic number, because the mean of its divisors is an integer number (63624163284).

Almost surely, 22100212111120 is an apocalyptic number.

2100212111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100212111120 is an abundant number, since it is smaller than the sum of its proper divisors (2989720951600).

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

2100212111120 is a wasteful number, since it uses less digits than its factorization.

2100212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910584 (or 6910578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2100212111120 its reverse (211112120012), we get a palindrome (2311324231132).

The spelling of 2100212111120 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 131 145 232 262 290 464 524 580 655 1048 1160 1310 2096 2320 2620 3799 5240 7598 10480 15196 18995 30392 37990 60784 75980 151960 303920 6910411 13820822 27641644 34552055 55283288 69104110 110566576 138208220 200401919 276416440 400803838 552832880 801607676 905263841 1002009595 1603215352 1810527682 2004019190 3206430704 3621055364 4008038380 4526319205 7242110728 8016076760 9052638410 14484221456 16032153520 18105276820 26252651389 36210553640 52505302778 72421107280 105010605556 131263256945 210021211112 262526513890 420042422224 525053027780 1050106055560 2100212111120