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102010020202200 = 233521121405096697
BaseRepresentation
bin10111001100011100001111…
…000001001000011011011000
3111101012001200200221101120210
4113030130033001020123120
5101332313010132432300
61000542431211251120
730325660253022645
oct2714341701103330
9441161620841523
10102010020202200
112a55a230010200
12b536285449aa0
1344bc67161bc36
141b294503a2dcc
15bbd7ac2eb050
hex5cc70f0486d8

102010020202200 has 144 divisors (see below), whose sum is σ = 347592821151240. Its totient is φ = 24729701849600.

The previous prime is 102010020202193. The next prime is 102010020202219. The reversal of 102010020202200 is 2202020010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 702475749 + ... + 702620948.

Almost surely, 2102010020202200 is an apocalyptic number.

102010020202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010020202200 is an abundant number, since it is smaller than the sum of its proper divisors (245582800949040).

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

102010020202200 is a wasteful number, since it uses less digits than its factorization.

102010020202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405096738 (or 1405096718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102010020202200 its reverse (2202020010201), we get a palindrome (104212040212401).

The spelling of 102010020202200 in words is "one hundred two trillion, ten billion, twenty million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 1405096697 2810193394 4215290091 5620386788 7025483485 8430580182 11240773576 14050966970 15456063667 16861160364 21076450455 28101933940 30912127334 33722320728 35127417425 42152900910 46368191001 56203867880 61824254668 70254834850 77280318335 84305801820 92736382002 105382252275 123648509336 140509669700 154560636670 168611603640 170016700337 185472764004 210764504550 231840955005 281019339400 309121273340 340033400674 370945528008 386401591675 421529009100 463681910010 510050101011 618242546680 680066801348 772803183350 843058018200 850083501685 927363820020 1020100202022 1159204775025 1360133602696 1545606366700 1700167003370 1854727640040 2040200404044 2318409550050 2550250505055 3091212733400 3400334006740 4080400808088 4250417508425 4636819100100 5100501010110 6800668013480 8500835016850 9273638200200 10201002020220 12751252525275 17001670033700 20402004040440 25502505050550 34003340067400 51005010101100 102010020202200