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102210200222020 = 225116117094456559
BaseRepresentation
bin10111001111010110101010…
…101011010011100101000100
3111101220012101120222000211221
4113033112222223103211010
5101344102442224101040
61001214415012010124
730346305021100042
oct2717265253234504
9441805346860757
10102210200222020
112a627114457a10
12b569031300944
1345054c401acc7
141b35000345392
15bc3ac647e74a
hex5cf5aaad3944

102210200222020 has 96 divisors (see below), whose sum is σ = 238132183564800. Its totient is φ = 36536645107200.

The previous prime is 102210200221999. The next prime is 102210200222051. The reversal of 102210200222020 is 20222002012201.

It is a junction number, because it is equal to n+sod(n) for n = 102210200221985 and 102210200222003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20706501 + ... + 25163059.

It is an arithmetic number, because the mean of its divisors is an integer number (2480543578800).

Almost surely, 2102210200222020 is an apocalyptic number.

102210200222020 is a gapful number since it is divisible by the number (10) 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 102210200222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119066091782400).

102210200222020 is an abundant number, since it is smaller than the sum of its proper divisors (135921983342780).

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

102210200222020 is a wasteful number, since it uses less digits than its factorization.

102210200222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458349 (or 4458347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102210200222020 its reverse (20222002012201), we get a palindrome (122432202234221).

The spelling of 102210200222020 in words is "one hundred two trillion, two hundred ten billion, two hundred million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 1709 2684 3355 3418 6710 6836 8545 13420 17090 18799 34180 37598 75196 93995 104249 187990 208498 375980 416996 521245 1042490 1146739 2084980 2293478 4456559 4586956 5733695 8913118 11467390 17826236 22282795 22934780 44565590 49022149 89131180 98044298 196088596 245110745 271850099 490221490 543700198 980442980 1087400396 1359250495 2718500990 2990351089 5437001980 5980702178 7616259331 11961404356 14951755445 15232518662 29903510890 30465037324 38081296655 59807021780 76162593310 83778852641 152325186620 167557705282 335115410564 418894263205 464591819191 837788526410 929183638382 1675577052820 1858367276764 2322959095955 4645918191910 5110510011101 9291836383820 10221020022202 20442040044404 25552550055505 51105100111010 102210200222020