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1020110010220 = 225723829738183
BaseRepresentation
bin11101101100000110100…
…10110111011101101100
310121112002012221210101101
432312003102313131230
5113203141130311340
62100344305452444
7133462164006310
oct16660322673554
93545065853341
101020110010220
11363698563254
12145854941124
13752716b0382
14375331a7b40
151b806eb2c9a
hexed834b776c

1020110010220 has 96 divisors (see below), whose sum is σ = 2555085109248. Its totient is φ = 334496312832.

The previous prime is 1020110010137. The next prime is 1020110010263. The reversal of 1020110010220 is 220100110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020110010197 and 1020110010206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26697249 + ... + 26735431.

It is an arithmetic number, because the mean of its divisors is an integer number (26615469888).

Almost surely, 21020110010220 is an apocalyptic number.

1020110010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110010220 is an abundant number, since it is smaller than the sum of its proper divisors (1534975099028).

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

1020110010220 is a wasteful number, since it uses less digits than its factorization.

1020110010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46519 (or 46517 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020110010220 its reverse (220100110201), we get a palindrome (1240210120421).

The spelling of 1020110010220 in words is "one trillion, twenty billion, one hundred ten million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 8297 16594 33188 38183 41485 58079 76366 82970 116158 152732 165940 190831 190915 232316 267281 290395 381662 381830 534562 580790 763324 763660 878209 954155 1069124 1161580 1335817 1336405 1756418 1908310 2671634 2672810 3512836 3816620 4391045 5343268 5345620 6147463 6679085 8782090 12294926 13358170 17564180 24589852 26716340 30737315 61474630 122949260 316804351 633608702 1267217404 1584021755 2217630457 3168043510 4435260914 6336087020 7286500073 8870521828 11088152285 14573000146 22176304570 29146000292 36432500365 44352609140 51005500511 72865000730 102011001022 145730001460 204022002044 255027502555 510055005110 1020110010220