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2525203122 = 2313434783193
BaseRepresentation
bin1001011010000011…
…1000101010110010
320111222121121110120
42112200320222302
520132422444442
61054323511110
7116401605141
oct22640705262
96458547416
102525203122
111086458532
125a5828496
13313214c40
1419d531758
15eba584ec
hex96838ab2

2525203122 has 128 divisors (see below), whose sum is σ = 5782081536. Its totient is φ = 730017792.

The previous prime is 2525203117. The next prime is 2525203123. The reversal of 2525203122 is 2213025252.

It is a junction number, because it is equal to n+sod(n) for n = 2525203092 and 2525203101.

It is not an unprimeable number, because it can be changed into a prime (2525203123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13083858 + ... + 13084050.

It is an arithmetic number, because the mean of its divisors is an integer number (45172512).

Almost surely, 22525203122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525203122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891040768).

2525203122 is an abundant number, since it is smaller than the sum of its proper divisors (3256878414).

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

2525203122 is a wasteful number, since it uses less digits than its factorization.

2525203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2525203122 is about 50251.3992044003. The cubic root of 2525203122 is about 1361.7543539771.

Adding to 2525203122 its reverse (2213025252), we get a palindrome (4738228374).

The spelling of 2525203122 in words is "two billion, five hundred twenty-five million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 47 78 83 86 94 129 141 166 193 249 258 282 386 498 559 579 611 1079 1118 1158 1222 1677 1833 2021 2158 2509 3237 3354 3569 3666 3901 4042 5018 6063 6474 7138 7527 7802 8299 9071 10707 11703 12126 15054 16019 16598 18142 21414 23406 24897 26273 27213 32038 46397 48057 49794 50713 52546 54426 78819 92794 96114 101426 107887 117923 139191 152139 157638 167743 208247 215774 235846 278382 304278 323661 335486 353769 390053 416494 503229 624741 647322 688817 707538 752893 780106 1006458 1170159 1249482 1377634 1505786 2066451 2180659 2258679 2340318 4132902 4361318 4517358 5070689 6541977 8954621 9787609 10141378 13083954 15212067 17909242 19575218 26863863 29362827 30424134 32374399 53727726 58725654 64748798 97123197 194246394 420867187 841734374 1262601561 2525203122