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211320303020 = 225174797113619
BaseRepresentation
bin1100010011001110101…
…0111110110110101100
3202012110021102122212122
43010303222332312230
511430240444144040
6241025035252112
721160466636621
oct3046352766654
9665407378778
10211320303020
1181690890432
1234b568aa038
1316c09702928
14a32972c348
15576c1d31b5
hex3133abedac

211320303020 has 96 divisors (see below), whose sum is σ = 480403768320. Its totient is φ = 77777300480.

The previous prime is 211320302959. The next prime is 211320303031. The reversal of 211320303020 is 20303023112.

It is a super-2 number, since 2×2113203030202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 211320303020.

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, 15509771 + ... + 15523389.

It is an arithmetic number, because the mean of its divisors is an integer number (5004205920).

Almost surely, 2211320303020 is an apocalyptic number.

211320303020 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 211320303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240201884160).

211320303020 is an abundant number, since it is smaller than the sum of its proper divisors (269083465300).

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

211320303020 is a wasteful number, since it uses less digits than its factorization.

211320303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663 (or 14661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 211320303020 its reverse (20303023112), we get a palindrome (231623326132).

The spelling of 211320303020 in words is "two hundred eleven billion, three hundred twenty million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 971 1598 1942 3196 3884 3995 4855 7990 9710 13619 15980 16507 19420 27238 33014 45637 54476 66028 68095 82535 91274 136190 165070 182548 228185 231523 272380 330140 456370 463046 640093 775829 912740 926092 1157615 1280186 1551658 2315230 2560372 3103316 3200465 3879145 4630460 6400930 7758290 10881581 12801860 13224049 15516580 21763162 26448098 43526324 52896196 54407905 66120245 108815810 132240490 217631620 224808833 264480980 449617666 621530303 899235332 1124044165 1243060606 2248088330 2486121212 3107651515 4496176660 6215303030 10566015151 12430606060 21132030302 42264060604 52830075755 105660151510 211320303020