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20212012020112 = 24111729727320417
BaseRepresentation
bin1001001100001111110011…
…10010111111000110010000
32122120020201212111000222221
410212013321302333012100
510122123200034120422
6110553134203310424
74154161333324453
oct446077162770620
978506655430887
1020212012020112
11649295894a790
122325281b1b414
13b37ca50b5903
144dc3a37a949a
15250b62b523c7
hex1261f9cbf190

20212012020112 has 160 divisors (see below), whose sum is σ = 46858133387520. Its totient is φ = 8337173053440.

The previous prime is 20212012020097. The next prime is 20212012020169. The reversal of 20212012020112 is 21102021021202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 62920128 + ... + 63240544.

It is an arithmetic number, because the mean of its divisors is an integer number (292863333672).

Almost surely, 220212012020112 is an apocalyptic number.

20212012020112 is a gapful number since it is divisible by the number (22) 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 20212012020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23429066693760).

20212012020112 is an abundant number, since it is smaller than the sum of its proper divisors (26646121367408).

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

20212012020112 is a wasteful number, since it uses less digits than its factorization.

20212012020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321209 (or 321203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20212012020112 its reverse (21102021021202), we get a palindrome (41314033041314).

The spelling of 20212012020112 in words is "twenty trillion, two hundred twelve billion, twelve million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 136 176 187 232 272 319 374 464 493 638 727 748 986 1276 1454 1496 1972 2552 2908 2992 3944 5104 5423 5816 7888 7997 10846 11632 12359 15994 21083 21692 24718 31988 42166 43384 49436 63976 84332 86768 98872 127952 135949 168664 197744 231913 271898 320417 337328 358411 463826 543796 640834 716822 927652 1087592 1281668 1433644 1855304 2175184 2563336 2867288 3524587 3710608 3942521 5126672 5447089 5734576 7049174 7885042 9292093 10894178 14098348 15770084 18584186 21788356 28196696 31540168 37168372 43576712 56393392 59917979 63080336 74336744 87153424 102213023 119835958 148673488 157965581 204426046 232943159 239671916 315931162 408852092 465886318 479343832 631862324 817704184 931772636 958687664 1263724648 1635408368 1737621391 1863545272 2527449296 2562374749 3475242782 3727090544 3960033703 5124749498 6755351611 6950485564 7920067406 10249498996 13510703222 13900971128 15840134812 20498997992 27021406444 27801942256 31680269624 40997995984 43560370733 54042812888 63360539248 74308867721 87120741466 108085625776 114840977387 148617735442 174241482932 229681954774 297235470884 348482965864 459363909548 594470941768 696965931728 918727819096 1188941883536 1263250751257 1837455638192 2526501502514 5053003005028 10106006010056 20212012020112