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3123522480 = 2435131952691
BaseRepresentation
bin1011101000101101…
…0010101110110000
322001200110101022210
42322023102232300
522344110204410
61233535532120
7140255334351
oct27213225660
98050411283
103123522480
111363168741
1273208a040
133aa172870
14218b9bd28
15134343220
hexba2d2bb0

3123522480 has 160 divisors (see below), whose sum is σ = 10976797440. Its totient is φ = 728386560.

The previous prime is 3123522449. The next prime is 3123522487. The reversal of 3123522480 is 842253213.

3123522480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3123522487) 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, 32935 + ... + 85625.

It is an arithmetic number, because the mean of its divisors is an integer number (68604984).

Almost surely, 23123522480 is an apocalyptic number.

3123522480 is a gapful number since it is divisible by the number (30) 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 3123522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488398720).

3123522480 is an abundant number, since it is smaller than the sum of its proper divisors (7853274960).

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

3123522480 is a wasteful number, since it uses less digits than its factorization.

3123522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52739 (or 52733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3123522480 is about 55888.4825344185. The cubic root of 3123522480 is about 1461.7784170662.

Adding to 3123522480 its reverse (842253213), we get a palindrome (3965775693).

The spelling of 3123522480 in words is "three billion, one hundred twenty-three million, five hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 52691 59280 105382 158073 210764 263455 316146 421528 526910 632292 684983 790365 843056 1001129 1053820 1264584 1369966 1580730 2002258 2054949 2107640 2529168 2739932 3003387 3161460 3424915 4004516 4109898 4215280 5005645 5479864 6006774 6322920 6849830 8009032 8219796 10011290 10274745 10959728 12013548 12645840 13014677 13699660 15016935 16018064 16439592 20022580 20549490 24027096 26029354 27399320 30033870 32879184 39044031 40045160 41098980 48054192 52058708 54798640 60067740 65073385 78088062 80090320 82197960 104117416 120135480 130146770 156176124 164395920 195220155 208234832 240270960 260293540 312352248 390440310 520587080 624704496 780880620 1041174160 1561761240 3123522480