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102002321130 = 235371373132143
BaseRepresentation
bin101111011111111001…
…1111110011011101010
3100202021201100210110120
41132333303332123222
53132400043234010
6114505331424110
710240466265303
oct1367763763352
9322251323416
10102002321130
113a293718656
1217928455036
1398075ba448
144d18d617aa
1529bee09e70
hex17bfcfe6ea

102002321130 has 128 divisors (see below), whose sum is σ = 254184818688. Its totient is φ = 26176131072.

The previous prime is 102002321111. The next prime is 102002321149. The reversal of 102002321130 is 31123200201.

It is an interprime number because it is at equal distance from previous prime (102002321111) and next prime (102002321149).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47596839 + ... + 47598981.

It is an arithmetic number, because the mean of its divisors is an integer number (1985818896).

Almost surely, 2102002321130 is an apocalyptic number.

102002321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127092409344).

102002321130 is an abundant number, since it is smaller than the sum of its proper divisors (152182497558).

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

102002321130 is a wasteful number, since it uses less digits than its factorization.

102002321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102002321130 its reverse (31123200201), we get a palindrome (133125521331).

The spelling of 102002321130 in words is "one hundred two billion, two million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 137 185 222 274 313 370 411 555 626 685 822 939 1110 1370 1565 1878 2055 2143 3130 4110 4286 4695 5069 6429 9390 10138 10715 11581 12858 15207 21430 23162 25345 30414 32145 34743 42881 50690 57905 64290 69486 76035 79291 85762 115810 128643 152070 158582 173715 214405 237873 257286 293591 347430 396455 428810 475746 587182 643215 670759 792910 880773 1189365 1286430 1341518 1467955 1586597 1761546 2012277 2378730 2935910 3173194 3353795 4024554 4403865 4759791 6707590 7932985 8807730 9519582 10061385 10862867 15865970 20122770 21725734 23798955 24818083 32588601 47597910 49636166 54314335 65177202 74454249 91893983 108628670 124090415 148908498 162943005 183787966 248180830 275681949 325886010 372271245 459469915 551363898 744542490 918939830 1378409745 2756819490 3400077371 6800154742 10200232113 17000386855 20400464226 34000773710 51001160565 102002321130