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2000012222100 = 2235273287931721
BaseRepresentation
bin11101000110101010000…
…001001001111010010100
321002012101021211210112110
4131012222001021322110
5230232011112101400
64130443134551020
7264332111251014
oct35065201117224
97065337753473
102000012222100
117012228394a2
12283748068470
131167a5c53499
146cb30351c44
15370590e3e50
hex1d1aa049e94

2000012222100 has 144 divisors (see below), whose sum is σ = 5868194411520. Its totient is φ = 525831321600.

The previous prime is 2000012222099. The next prime is 2000012222119. The reversal of 2000012222100 is 12222100002.

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

2000012222100 is a modest number, since divided by 12222100 gives 200 as remainder.

It is a congruent number.

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, 63034240 + ... + 63065960.

It is an arithmetic number, because the mean of its divisors is an integer number (40751350080).

Almost surely, 22000012222100 is an apocalyptic number.

2000012222100 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 2000012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934097205760).

2000012222100 is an abundant number, since it is smaller than the sum of its proper divisors (3868182189420).

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

2000012222100 is a wasteful number, since it uses less digits than its factorization.

2000012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34690 (or 34683 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2000012222100 its reverse (12222100002), we get a palindrome (2012234322102).

The spelling of 2000012222100 in words is "two trillion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 2879 3650 4380 5475 5758 7300 8637 10950 11516 14395 17274 21900 28790 31721 34548 43185 57580 63442 71975 86370 95163 126884 143950 158605 172740 190326 210167 215925 287900 317210 380652 420334 431850 475815 630501 634420 793025 840668 863700 951630 1050835 1261002 1586050 1903260 2101670 2315633 2379075 2522004 3152505 3172100 4203340 4631266 4758150 5254175 6305010 6946899 9262532 9516300 10508350 11578165 12610020 13893798 15762525 21016700 23156330 27787596 31525050 34734495 46312660 57890825 63050100 69468990 91324759 115781650 138937980 173672475 182649518 231563300 273974277 347344950 365299036 456623795 547948554 694689900 913247590 1095897108 1369871385 1826495180 2283118975 2739742770 4566237950 5479485540 6666707407 6849356925 9132475900 13333414814 13698713850 20000122221 26666829628 27397427700 33333537035 40000244442 66667074070 80000488884 100000611105 133334148140 166667685175 200001222210 333335370350 400002444420 500003055525 666670740700 1000006111050 2000012222100