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3142313020 = 22571115113513
BaseRepresentation
bin1011101101001011…
…1110010000111100
322002222211001002201
42323102332100330
522413413004040
61235450401244
7140604135310
oct27322762074
98088731081
103142313020
111372832310
12738430224
133b1021622
1421b48db40
15135d05a9a
hexbb4be43c

3142313020 has 96 divisors (see below), whose sum is σ = 8282244096. Its totient is φ = 972864000.

The previous prime is 3142313011. The next prime is 3142313029. The reversal of 3142313020 is 203132413.

It is an interprime number because it is at equal distance from previous prime (3142313011) and next prime (3142313029).

It is a super-2 number, since 2×31423130202 = 19748262231323040800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142313029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225784 + ... + 239296.

It is an arithmetic number, because the mean of its divisors is an integer number (86273376).

Almost surely, 23142313020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141122048).

3142313020 is an abundant number, since it is smaller than the sum of its proper divisors (5139931076).

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

3142313020 is a wasteful number, since it uses less digits than its factorization.

3142313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13691 (or 13689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3142313020 is about 56056.3379110694. The cubic root of 3142313020 is about 1464.7038225243.

Adding to 3142313020 its reverse (203132413), we get a palindrome (3345445433).

The spelling of 3142313020 in words is "three billion, one hundred forty-two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 151 154 220 302 308 385 604 755 770 1057 1510 1540 1661 2114 3020 3322 4228 5285 6644 8305 10570 11627 13513 16610 21140 23254 27026 33220 46508 54052 58135 67565 94591 116270 135130 148643 189182 232540 270260 297286 378364 472955 594572 743215 945910 1040501 1486430 1891820 2040463 2081002 2972860 4080926 4162004 5202505 8161852 10202315 10405010 14283241 20404630 20810020 22445093 28566482 40809260 44890186 57132964 71416205 89780372 112225465 142832410 157115651 224450930 285664820 314231302 448901860 628462604 785578255 1571156510 3142313020