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61310122200 = 233252131260009
BaseRepresentation
bin111001000110010111…
…100011100011011000
312212020210210220112200
4321012113203203120
52001030342402300
644055424410200
74300215303645
oct710627434330
9185223726480
1061310122200
1124001a69288
12ba70776960
135a20cca522
142d7888adcc
1518dc792200
hexe465e38d8

61310122200 has 144 divisors (see below), whose sum is σ = 207472379400. Its totient is φ = 16224499200.

The previous prime is 61310122199. The next prime is 61310122253. The reversal of 61310122200 is 222101316.

61310122200 is a `hidden beast` number, since 613 + 10 + 1 + 22 + 20 + 0 = 666.

61310122200 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105796 + ... + 365804.

Almost surely, 261310122200 is an apocalyptic number.

61310122200 is a gapful number since it is divisible by the number (60) 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 61310122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103736189700).

61310122200 is an abundant number, since it is smaller than the sum of its proper divisors (146162257200).

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

61310122200 is a wasteful number, since it uses less digits than its factorization.

61310122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260162 (or 260150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 61310122200 its reverse (222101316), we get a palindrome (61532223516).

The spelling of 61310122200 in words is "sixty-one billion, three hundred ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 131 150 180 200 225 262 300 360 393 450 524 600 655 786 900 1048 1179 1310 1572 1800 1965 2358 2620 3144 3275 3930 4716 5240 5895 6550 7860 9432 9825 11790 13100 15720 19650 23580 26200 29475 39300 47160 58950 78600 117900 235800 260009 520018 780027 1040036 1300045 1560054 2080072 2340081 2600090 3120108 3900135 4680162 5200180 6240216 6500225 7800270 9360324 10400360 11700405 13000450 15600540 18720648 19500675 23400810 26000900 31201080 34061179 39001350 46801620 52001800 58502025 68122358 78002700 93603240 102183537 117004050 136244716 156005400 170305895 204367074 234008100 272489432 306550611 340611790 408734148 468016200 510917685 613101222 681223580 817468296 851529475 1021835370 1226202444 1362447160 1532753055 1703058950 2043670740 2452404888 2554588425 3065506110 3406117900 4087341480 5109176850 6131012220 6812235800 7663765275 10218353700 12262024440 15327530550 20436707400 30655061100 61310122200