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11220001331232 = 253891379585419
BaseRepresentation
bin1010001101000101110000…
…1100011001100000100000
31110201121210011222021011110
42203101130030121200200
52432312030320044412
635510221503343320
72235422043510351
oct243213414314040
943647704867143
1011220001331232
113636415279321
1213126178b1b40
13635070495a65
142ab09dba7d28
15146cd0a5dd3c
hexa345c319820

11220001331232 has 96 divisors (see below), whose sum is σ = 30000830932800. Its totient is φ = 3670985043968.

The previous prime is 11220001331221. The next prime is 11220001331243. The reversal of 11220001331232 is 23213310002211.

It is an interprime number because it is at equal distance from previous prime (11220001331221) and next prime (11220001331243).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11220001331199 and 11220001331208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622182 + ... + 5963237.

It is an arithmetic number, because the mean of its divisors is an integer number (312508655550).

Almost surely, 211220001331232 is an apocalyptic number.

11220001331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220001331232 is an abundant number, since it is smaller than the sum of its proper divisors (18780829601568).

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

11220001331232 is a wasteful number, since it uses less digits than its factorization.

11220001331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585658 (or 9585650 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11220001331232 its reverse (23213310002211), we get a palindrome (34433311333443).

The spelling of 11220001331232 in words is "eleven trillion, two hundred twenty billion, one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 137 178 267 274 356 411 534 548 712 822 1068 1096 1424 1644 2136 2192 2848 3288 4272 4384 6576 8544 12193 13152 24386 36579 48772 73158 97544 146316 195088 292632 390176 585264 1170528 9585419 19170838 28756257 38341676 57512514 76683352 115025028 153366704 230050056 306733408 460100112 853102291 920200224 1313202403 1706204582 2559306873 2626404806 3412409164 3939607209 5118613746 5252809612 6824818328 7879214418 10237227492 10505619224 13649636656 15758428836 20474454984 21011238448 27299273312 31516857672 40948909968 42022476896 63033715344 81897819936 116875013867 126067430688 233750027734 350625041601 467500055468 701250083202 935000110936 1402500166404 1870000221872 2805000332808 3740000443744 5610000665616 11220001331232