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10220132233320 = 23351619345715217
BaseRepresentation
bin1001010010111000111101…
…0110011111000001101000
31100012000221120212100120220
42110232033112133001220
52314421312322431240
633423021450450040
72103244255430142
oct224561726370150
940160846770526
1010220132233320
113290374231079
121190891733920
135919a6370499
1427492acb7c92
1512acb0a535d0
hex94b8f59f068

10220132233320 has 128 divisors (see below), whose sum is σ = 30690225820800. Its totient is φ = 2722718416896.

The previous prime is 10220132233273. The next prime is 10220132233331. The reversal of 10220132233320 is 2333223102201.

10220132233320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102201322333202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 671618352 + ... + 671633568.

It is an arithmetic number, because the mean of its divisors is an integer number (239767389225).

Almost surely, 210220132233320 is an apocalyptic number.

10220132233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220132233320 is an abundant number, since it is smaller than the sum of its proper divisors (20470093587480).

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

10220132233320 is a wasteful number, since it uses less digits than its factorization.

10220132233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20307 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10220132233320 its reverse (2333223102201), we get a palindrome (12553355335521).

The spelling of 10220132233320 in words is "ten trillion, two hundred twenty billion, one hundred thirty-two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1619 3238 3457 4857 6476 6914 8095 9714 10371 12952 13828 15217 16190 17285 19428 20742 24285 27656 30434 32380 34570 38856 41484 45651 48570 51855 60868 64760 69140 76085 82968 91302 97140 103710 121736 138280 152170 182604 194280 207420 228255 304340 365208 414840 456510 608680 913020 1826040 5596883 11193766 16790649 22387532 24636323 27984415 33581298 44775064 49272646 52605169 55968830 67162596 73908969 83953245 98545292 105210338 111937660 123181615 134325192 147817938 157815507 167906490 197090584 210420676 223875320 246363230 263025845 295635876 315631014 335812980 369544845 420841352 492726460 526051690 591271752 631262028 671625960 739089690 789077535 985452920 1052103380 1262524056 1478179380 1578155070 2104206760 2956358760 3156310140 6312620280 85167768611 170335537222 255503305833 340671074444 425838843055 511006611666 681342148888 851677686110 1022013223332 1277516529165 1703355372220 2044026446664 2555033058330 3406710744440 5110066116660 10220132233320