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211220312003020 = 225433374969146669
BaseRepresentation
bin110000000001101010001111…
…101010101001000111001100
31000200212110112201012002022101
4300001222033222221013030
5210141113144333044040
62025121134411524444
762330110143602635
oct6001521752510714
91020773481162271
10211220312003020
1161335038694a11
121b833ab3159724
1390b1cb3c1aca8
143a23190b7c88c
1519644d201909a
hexc01a8faa91cc

211220312003020 has 96 divisors (see below), whose sum is σ = 455319602337600. Its totient is φ = 82261289263104.

The previous prime is 211220312002993. The next prime is 211220312003047. The reversal of 211220312003020 is 20300213022112.

It is an interprime number because it is at equal distance from previous prime (211220312002993) and next prime (211220312003047).

It is a super-2 number, since 2×2112203120030202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440042246 + ... + 1440188914.

It is an arithmetic number, because the mean of its divisors is an integer number (4742912524350).

Almost surely, 2211220312003020 is an apocalyptic number.

211220312003020 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 211220312003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227659801168800).

211220312003020 is an abundant number, since it is smaller than the sum of its proper divisors (244099290334580).

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

211220312003020 is a wasteful number, since it uses less digits than its factorization.

211220312003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152027 (or 152025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 211220312003020 its reverse (20300213022112), we get a palindrome (231520525025132).

The spelling of 211220312003020 in words is "two hundred eleven trillion, two hundred twenty billion, three hundred twelve million, three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 337 430 674 860 1348 1685 3370 4969 6740 9938 14491 19876 24845 28982 49690 57964 72455 99380 144910 146669 213667 289820 293338 427334 586676 733345 854668 1068335 1466690 1674553 2136670 2933380 3349106 4273340 6306767 6698212 8372765 12613534 16745530 25227068 31533835 33491060 49427453 63067670 72005779 98854906 126135340 144011558 197709812 247137265 288023116 360028895 494274530 720057790 728798261 988549060 1440115580 1457596522 2125380479 2915193044 3643991305 4250760958 7287982610 8501521916 10626902395 14575965220 21253804790 31338325223 42507609580 62676650446 125353300892 156691626115 245605013957 313383252230 491210027914 626766504460 982420055828 1228025069785 2456050139570 4912100279140 10561015600151 21122031200302 42244062400604 52805078000755 105610156001510 211220312003020