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102002210212110 = 235133137861222839
BaseRepresentation
bin10111001100010100111101…
…100000011000100100001110
3111101011022112102001210021120
4113030110331200120210032
5101332201011303241420
61000535100220141410
730325262600141355
oct2714247540304416
9441138472053246
10102002210212110
112a55699252203a
12b534865997866
1344bb9c8575c20
141b28d0d03a99c
15bbd4a1834d40
hex5cc53d81890e

102002210212110 has 128 divisors (see below), whose sum is σ = 272149293588480. Its totient is φ = 24297542438400.

The previous prime is 102002210212073. The next prime is 102002210212151. The reversal of 102002210212110 is 11212012200201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102002210212110.

It is a congruent number.

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, 457628071 + ... + 457850909.

It is an arithmetic number, because the mean of its divisors is an integer number (2126166356160).

Almost surely, 2102002210212110 is an apocalyptic number.

102002210212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102002210212110 is an abundant number, since it is smaller than the sum of its proper divisors (170147083376370).

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

102002210212110 is a wasteful number, since it uses less digits than its factorization.

102002210212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260754.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102002210212110 its reverse (11212012200201), we get a palindrome (113214222412311).

The spelling of 102002210212110 in words is "one hundred two trillion, two billion, two hundred ten million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 37861 75722 113583 189305 222839 227166 378610 445678 492193 567915 668517 984386 1114195 1135830 1173691 1337034 1476579 2228390 2347382 2460965 2896907 2953158 3342585 3521073 4921930 5793814 5868455 6685170 6908009 7042146 7382895 8690721 11736910 13816018 14484535 14765790 15257983 17381442 17605365 20724027 28969070 30515966 34540045 35210730 41448054 43453605 45773949 69080090 76289915 86907210 89804117 91547898 103620135 152579830 179608234 207240270 228869745 269412351 449020585 457739490 538824702 898041170 1347061755 2694123510 8436907379 16873814758 25310722137 42184536895 50621444274 84369073790 109679795927 126553610685 219359591854 253107221370 261544128749 329039387781 523088257498 548398979635 658078775562 784632386247 1096797959270 1307720643745 1569264772494 1645196938905 2615441287490 3290393877810 3400073673737 3923161931235 6800147347474 7846323862470 10200221021211 17000368368685 20400442042422 34000736737370 51001105106055 102002210212110