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1020021002100 = 2232521959650351
BaseRepresentation
bin11101101011111011111…
…11010100111101110100
310121111212000110201012100
432311331333110331310
5113203000334031400
62100331410022100
7133460033314362
oct16657577247564
93544760421170
101020021002100
1136365229a121
1214582ab77930
1375259117a49
1437525438632
151b7ee280100
hexed7dfd4f74

1020021002100 has 108 divisors (see below), whose sum is σ = 3365472859840. Its totient is φ = 257689512000.

The previous prime is 1020021002071. The next prime is 1020021002173. The reversal of 1020021002100 is 12001200201.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 29808076 + ... + 29842275.

Almost surely, 21020021002100 is an apocalyptic number.

1020021002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020021002100 is an abundant number, since it is smaller than the sum of its proper divisors (2345451857740).

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

1020021002100 is a wasteful number, since it uses less digits than its factorization.

1020021002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59650390 (or 59650380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020021002100 its reverse (12001200201), we get a palindrome (1032022202301).

The spelling of 1020021002100 in words is "one trillion, twenty billion, twenty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 59650351 119300702 178951053 238601404 298251755 357902106 536853159 596503510 715804212 894755265 1073706318 1133356669 1193007020 1491258775 1789510530 2147412636 2266713338 2684265795 2982517550 3400070007 3579021060 4473776325 4533426676 5368531590 5666783345 5965035100 6800140014 8947552650 10200210021 10737063180 11333566690 13421328975 13600280028 17000350035 17895105300 20400420042 22667133380 26842657950 28333916725 34000700070 40800840084 51001050105 53685315900 56667833450 68001400140 85001750175 102002100210 113335666900 170003500350 204004200420 255005250525 340007000700 510010501050 1020021002100