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10220020202000 = 245371861392263
BaseRepresentation
bin1001010010111000100010…
…1011000111101000010000
31100012000122210001120111202
42110232020223013220100
52314421100132431000
633423002405330332
72103241425245210
oct224561053075020
940160583046452
1010220020202000
113290316a72304
1211908601069a8
135919890a666b
1427491a074240
1512aca5cc3dd5
hex94b88ac7a10

10220020202000 has 160 divisors (see below), whose sum is σ = 28257543734784. Its totient is φ = 3502115136000.

The previous prime is 10220020201999. The next prime is 10220020202047. The reversal of 10220020202000 is 20202002201.

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, 25857869 + ... + 26250131.

Almost surely, 210220020202000 is an apocalyptic number.

10220020202000 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 10220020202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128771867392).

10220020202000 is an abundant number, since it is smaller than the sum of its proper divisors (18037523532784).

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

10220020202000 is a wasteful number, since it uses less digits than its factorization.

10220020202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394154 (or 394138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10220020202000 its reverse (20202002201), we get a palindrome (10240222204201).

The spelling of 10220020202000 in words is "ten trillion, two hundred twenty billion, twenty million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 1861 2000 2800 3500 3722 7000 7444 9305 13027 14000 14888 18610 26054 29776 37220 46525 52108 65135 74440 93050 104216 130270 148880 186100 208432 232625 260540 325675 372200 392263 465250 521080 651350 744400 784526 930500 1042160 1302700 1569052 1628375 1861000 1961315 2605400 2745841 3138104 3256750 3722000 3922630 5210800 5491682 6276208 6513500 7845260 9806575 10983364 13027000 13729205 15690520 19613150 21966728 26054000 27458410 31381040 39226300 43933456 49032875 54916820 68646025 78452600 98065750 109833640 137292050 156905200 196131500 219667280 274584100 343230125 392263000 549168200 686460250 730001443 784526000 1098336400 1372920500 1460002886 2745841000 2920005772 3650007215 5110010101 5491682000 5840011544 7300014430 10220020202 11680023088 14600028860 18250036075 20440040404 25550050505 29200057720 36500072150 40880080808 51100101010 58400115440 73000144300 81760161616 91250180375 102200202020 127750252525 146000288600 182500360750 204400404040 255500505050 292000577200 365000721500 408800808080 511001010100 638751262625 730001443000 1022002020200 1277502525250 1460002886000 2044004040400 2555005050500 5110010101000 10220020202000