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20200202012100 = 223521123266142319
BaseRepresentation
bin1001001011111001110011…
…10111011000010111000100
32122112010020210212110122210
410211330321313120113010
510121430003203341400
6110543502242023420
74153262560033305
oct445747167302704
978463223773583
1020200202012100
116488948465990
122322b26947b70
13b36b42412ca6
144db9a30c67ac
152506c0e10950
hex125f39dd85c4

20200202012100 has 144 divisors (see below), whose sum is σ = 66531321722880. Its totient is φ = 4684104796800.

The previous prime is 20200202012087. The next prime is 20200202012129. The reversal of 20200202012100 is 121020200202.

It is a super-2 number, since 2×202002020121002 (a number of 27 digits) contains 22 as substring.

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

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, 132995260 + ... + 133147059.

It is an arithmetic number, because the mean of its divisors is an integer number (462023067520).

Almost surely, 220200202012100 is an apocalyptic number.

20200202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200202012100 is an abundant number, since it is smaller than the sum of its proper divisors (46331119710780).

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

20200202012100 is a wasteful number, since it uses less digits than its factorization.

20200202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266142370 (or 266142363 counting only the distinct ones).

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

Adding to 20200202012100 its reverse (121020200202), we get a palindrome (20321222212302).

The spelling of 20200202012100 in words is "twenty trillion, two hundred billion, two hundred two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 266142319 532284638 798426957 1064569276 1330711595 1596853914 2661423190 2927565509 3193707828 3992134785 5322846380 5855131018 6121273337 6653557975 7984269570 8782696527 11710262036 12242546674 13307115950 14637827545 15968539140 17565393054 18363820011 19960673925 24485093348 26614231900 29275655090 30606366685 35130786108 36727640022 39921347850 43913482635 58551310180 61212733370 67334006707 73189137725 73455280044 79842695700 87826965270 91819100055 122425466740 134668013414 146378275450 153031833425 175653930540 183638200110 202002020121 219567413175 269336026828 292756550900 306063666850 336670033535 367276400220 404004040242 439134826350 459095500275 612127333700 673340067070 808008080484 878269652700 918191000550 1010010100605 1346680134140 1683350167675 1836382001100 2020020201210 3366700335350 4040040402420 5050050503025 6733400670700 10100101006050 20200202012100