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202121663033100 = 223521967529252849
BaseRepresentation
bin101101111101010000011101…
…111011010010111100001100
3222111122122100012221100120110
4231331100131323102330030
5202443030131214024400
61553513224331320020
760400544142454146
oct5575203573227414
9874578305840513
10202121663033100
1159447352532678
121a804647bb0010
1388a1cb6412a65
1437caa5263bc96
1518579ad022e50
hexb7d41ded2f0c

202121663033100 has 144 divisors (see below), whose sum is σ = 624772404368000. Its totient is φ = 50300190673920.

The previous prime is 202121663033071. The next prime is 202121663033113. The reversal of 202121663033100 is 1330366121202.

It is a super-2 number, since 2×2021216630331002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264244525 + ... + 265008324.

Almost surely, 2202121663033100 is an apocalyptic number.

202121663033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121663033100 is an abundant number, since it is smaller than the sum of its proper divisors (422650741334900).

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

202121663033100 is a wasteful number, since it uses less digits than its factorization.

202121663033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529252952 (or 529252945 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 202121663033100 in words is "two hundred two trillion, one hundred twenty-one billion, six hundred sixty-three million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 67 75 76 95 100 114 134 150 190 201 228 268 285 300 335 380 402 475 570 670 804 950 1005 1140 1273 1340 1425 1675 1900 2010 2546 2850 3350 3819 4020 5025 5092 5700 6365 6700 7638 10050 12730 15276 19095 20100 25460 31825 38190 63650 76380 95475 127300 190950 381900 529252849 1058505698 1587758547 2117011396 2646264245 3175517094 5292528490 6351034188 7938792735 10055804131 10585056980 13231321225 15877585470 20111608262 26462642450 30167412393 31755170940 35459940883 39693963675 40223216524 50279020655 52925284900 60334824786 70919881766 79387927350 100558041310 106379822649 120669649572 141839763532 150837061965 158775854700 177299704415 201116082620 212759645298 251395103275 301674123930 354599408830 425519290596 502790206550 531899113245 603348247860 673738876777 709198817660 754185309825 886498522075 1005580413100 1063798226490 1347477753554 1508370619650 1772997044150 2021216630331 2127596452980 2659495566225 2694955507108 3016741239300 3368694383885 3545994088300 4042433260662 5318991132450 6737388767770 8084866521324 10106083151655 10637982264900 13474777535540 16843471919425 20212166303310 33686943838850 40424332606620 50530415758275 67373887677700 101060831516550 202121663033100