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20021120100020 = 22513172673976879
BaseRepresentation
bin1001000110101100001111…
…10000000110011010110100
32121220000000021122202021102
410203112013300012122310
510111011223221200040
6110325324155105232
74134323006635334
oct443260760063264
977800007582242
1020021120100020
116419a0038a856
1222b4288742218
13b22ca2a59140
144d30551d50c4
1524abde108515
hex123587c066b4

20021120100020 has 144 divisors (see below), whose sum is σ = 48816551965440. Its totient is φ = 6853719730176.

The previous prime is 20021120099989. The next prime is 20021120100031. The reversal of 20021120100020 is 2000102112002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20021120099974 and 20021120100010.

It is a congruent number.

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, 3045941 + ... + 7022819.

Almost surely, 220021120100020 is an apocalyptic number.

20021120100020 is a gapful number since it is divisible by the number (20) 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 20021120100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408275982720).

20021120100020 is an abundant number, since it is smaller than the sum of its proper divisors (28795431865420).

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

20021120100020 is a wasteful number, since it uses less digits than its factorization.

20021120100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977002 (or 3976983 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20021120100020 its reverse (2000102112002), we get a palindrome (22021222212022).

The spelling of 20021120100020 in words is "twenty trillion, twenty-one billion, one hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 67 68 85 130 134 170 221 260 268 289 335 340 442 578 670 871 884 1105 1139 1156 1340 1445 1742 2210 2278 2890 3484 3757 4355 4420 4556 5695 5780 7514 8710 11390 14807 15028 17420 18785 19363 22780 29614 37570 38726 59228 74035 75140 77452 96815 148070 193630 251719 296140 387260 503438 1006876 1258595 2517190 3976879 5034380 7953758 15907516 19884395 39768790 51699427 67606943 79537580 103398854 135213886 206797708 258497135 266450893 270427772 338034715 516994270 532901786 676069430 878890259 1033988540 1065803572 1149318031 1332254465 1352138860 1757780518 2298636062 2664508930 3463861609 3515561036 4394451295 4529665181 4597272124 5329017860 5746590155 6927723218 8788902590 9059330362 11493180310 13855446436 14941134403 17319308045 17577805180 18118660724 22648325905 22986360620 29882268806 34638616090 45296651810 58885647353 59764537612 69277232180 74705672015 77004308077 90593303620 117771294706 149411344030 154008616154 235542589412 294428236765 298822688060 308017232308 385021540385 588856473530 770043080770 1001056005001 1177712947060 1540086161540 2002112010002 4004224020004 5005280025005 10010560050010 20021120100020