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2002111200040 = 2357283110322907
BaseRepresentation
bin11101001000100111001…
…000000111101100101000
321002101210120102220222011
4131020213020013230220
5230300310431400130
64131431315205304
7264435116260150
oct35104710075450
97071716386864
102002111200040
117020aa639706
12284032ba6834
13116a4ba74073
146cc8d013760
153712d50852a
hex1d227207b28

2002111200040 has 128 divisors (see below), whose sum is σ = 5171387535360. Its totient is φ = 683362577664.

The previous prime is 2002111199951. The next prime is 2002111200041. The reversal of 2002111200040 is 400021112002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2002111200041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87390267 + ... + 87413173.

It is an arithmetic number, because the mean of its divisors is an integer number (40401465120).

Almost surely, 22002111200040 is an apocalyptic number.

2002111200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002111200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585693767680).

2002111200040 is an abundant number, since it is smaller than the sum of its proper divisors (3169276335320).

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

2002111200040 is a wasteful number, since it uses less digits than its factorization.

2002111200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311 (or 24307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002111200040 its reverse (400021112002), we get a palindrome (2402132312042).

The spelling of 2002111200040 in words is "two trillion, two billion, one hundred eleven million, two hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 283 566 1103 1132 1415 1981 2206 2264 2830 3962 4412 5515 5660 7721 7924 8824 9905 11030 11320 15442 15848 19810 22060 22907 30884 38605 39620 44120 45814 61768 77210 79240 91628 114535 154420 160349 183256 229070 308840 312149 320698 458140 624298 641396 801745 916280 1248596 1282792 1560745 1603490 2185043 2497192 3121490 3206980 4370086 6242980 6413960 6482681 8740172 10925215 12485960 12965362 17480344 21850430 25266421 25930724 32413405 43700860 45378767 50532842 51861448 64826810 87401720 90757534 101065684 126332105 129653620 176864947 181515068 202131368 226893835 252664210 259307240 353729894 363030136 453787670 505328420 707459788 884324735 907575340 1010656840 1414919576 1768649470 1815150680 3537298940 7074597880 7150397143 14300794286 28601588572 35751985715 50052780001 57203177144 71503971430 100105560002 143007942860 200211120004 250263900005 286015885720 400422240008 500527800010 1001055600020 2002111200040