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20330333030100 = 223521911173193129
BaseRepresentation
bin1001001111101100001100…
…10001110100011011010100
32122222120010212100010012010
410213312012101310123110
510131043010223430400
6111123343121224220
74165550414321322
oct447660621643324
978876125303163
1020330333030100
116529055a91855
1223441a3492070
13b461b049b762
14503dc9b38d12
15253c8a504450
hex127d864746d4

20330333030100 has 144 divisors (see below), whose sum is σ = 61973799742400. Its totient is φ = 5131484421120.

The previous prime is 20330333030071. The next prime is 20330333030107. The reversal of 20330333030100 is 103033303302.

It is a super-2 number, since 2×203303330301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330333030107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4770336 + ... + 7963464.

Almost surely, 220330333030100 is an apocalyptic number.

20330333030100 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 20330333030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30986899871200).

20330333030100 is an abundant number, since it is smaller than the sum of its proper divisors (41643466712300).

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

20330333030100 is a wasteful number, since it uses less digits than its factorization.

20330333030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194282 (or 3194275 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 20330333030100 its reverse (103033303302), we get a palindrome (20433366333402).

The spelling of 20330333030100 in words is "twenty trillion, three hundred thirty billion, three hundred thirty-three million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1117 1140 1425 1900 2234 2850 3351 4468 5585 5700 6702 11170 13404 16755 21223 22340 27925 33510 42446 55850 63669 67020 83775 84892 106115 111700 127338 167550 212230 254676 318345 335100 424460 530575 636690 1061150 1273380 1591725 2122300 3183450 3193129 6366900 6386258 9579387 12772516 15965645 19158774 31931290 38317548 47896935 60669451 63862580 79828225 95793870 121338902 159656450 182008353 191587740 239484675 242677804 303347255 319312900 364016706 478969350 606694510 728033412 910041765 957938700 1213389020 1516736275 1820083530 3033472550 3566725093 3640167060 4550208825 6066945100 7133450186 9100417650 10700175279 14266900372 17833625465 18200835300 21400350558 35667250930 42800701116 53500876395 67767776767 71334501860 89168127325 107001752790 135535553534 178336254650 203303330301 214003505580 267504381975 271071107068 338838883835 356672509300 406606660602 535008763950 677677767670 813213321204 1016516651505 1070017527900 1355355535340 1694194419175 2033033303010 3388388838350 4066066606020 5082583257525 6776777676700 10165166515050 20330333030100