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103222303320 = 23353145176143
BaseRepresentation
bin110000000100010000…
…1110101101001011000
3100212102201222022102010
41200020201311221120
53142344402201240
6115230352105520
710312642046553
oct1401041655130
9325381868363
10103222303320
113a85a3322a4
1218008b352a0
139970289bb6
144dd2db369a
152a42091280
hex1808875a58

103222303320 has 128 divisors (see below), whose sum is σ = 319778979840. Its totient is φ = 26627781120.

The previous prime is 103222303279. The next prime is 103222303339. The reversal of 103222303320 is 23303222301.

103222303320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 16800169 + ... + 16806311.

It is an arithmetic number, because the mean of its divisors is an integer number (2498273280).

Almost surely, 2103222303320 is an apocalyptic number.

103222303320 is a gapful number since it is divisible by the number (10) 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 103222303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159889489920).

103222303320 is an abundant number, since it is smaller than the sum of its proper divisors (216556676520).

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

103222303320 is a wasteful number, since it uses less digits than its factorization.

103222303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 103222303320 its reverse (23303222301), we get a palindrome (126525525621).

The spelling of 103222303320 in words is "one hundred three billion, two hundred twenty-two million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4517 6143 9034 12286 13551 18068 18429 22585 24572 27102 30715 36136 36858 45170 49144 54204 61430 67755 73716 90340 92145 108408 122860 135510 140027 147432 180680 184290 190433 245720 271020 280054 368580 380866 420081 542040 560108 571299 700135 737160 761732 840162 952165 1120216 1142598 1400270 1523464 1680324 1904330 2100405 2285196 2800540 2856495 3360648 3808660 4200810 4570392 5601080 5712990 7617320 8401620 11425980 16803240 22851960 27747931 55495862 83243793 110991724 138739655 166487586 221983448 277479310 332975172 416218965 554958620 665950344 832437930 860185861 1109917240 1664875860 1720371722 2580557583 3329751720 3440743444 4300929305 5161115166 6881486888 8601858610 10322230332 12902787915 17203717220 20644460664 25805575830 34407434440 51611151660 103222303320