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52520022100 = 22527138816551
BaseRepresentation
bin110000111010011011…
…111111000001010100
312000120012200120001201
4300322123333001110
51330030111201400
640043302202244
73536331551650
oct607233770124
9160505616051
1052520022100
1120301201a47
12a218a23384
134c4cb8c670
1427832b3a60
151575c2806a
hexc3a6ff054

52520022100 has 144 divisors (see below), whose sum is σ = 140449510656. Its totient is φ = 16600320000.

The previous prime is 52520022097. The next prime is 52520022103. The reversal of 52520022100 is 122002525.

It is an interprime number because it is at equal distance from previous prime (52520022097) and next prime (52520022103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52520022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8013825 + ... + 8020375.

It is an arithmetic number, because the mean of its divisors is an integer number (975343824).

Almost surely, 252520022100 is an apocalyptic number.

52520022100 is a gapful number since it is divisible by the number (50) 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 52520022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70224755328).

52520022100 is an abundant number, since it is smaller than the sum of its proper divisors (87929488556).

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

52520022100 is a wasteful number, since it uses less digits than its factorization.

52520022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7459 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 52520022100 its reverse (122002525), we get a palindrome (52642024625).

The spelling of 52520022100 in words is "fifty-two billion, five hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 881 910 1300 1762 1820 2275 3524 4405 4550 6167 6551 8810 9100 11453 12334 13102 17620 22025 22906 24668 26204 30835 32755 44050 45812 45857 57265 61670 65510 80171 85163 88100 91714 114530 123340 131020 154175 160342 163775 170326 183428 229060 229285 286325 308350 320684 327550 340652 400855 425815 458570 572650 596141 616700 655100 801710 851630 917140 1145300 1146425 1192282 1603420 1703260 2004275 2129075 2292850 2384564 2980705 4008550 4258150 4585700 5771431 5961410 8017100 8516300 11542862 11922820 14903525 23085724 28857155 29807050 40400017 57714310 59614100 75028603 80800034 115428620 144285775 150057206 161600068 202000085 288571550 300114412 375143015 404000170 525200221 577143100 750286030 808000340 1010000425 1050400442 1500572060 1875715075 2020000850 2100800884 2626001105 3751430150 4040001700 5252002210 7502860300 10504004420 13130005525 26260011050 52520022100