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1020020120112 = 243717313570527
BaseRepresentation
bin11101101011111011110…
…11111101101000110000
310121111211221210220100010
432311331323331220300
5113203000122320422
62100331335054520
7133460022652110
oct16657573755060
93544757726303
101020020120112
11363651847504
1214582a811440
1375258b99466
1437525289040
151b7ee158b0c
hexed7defda30

1020020120112 has 160 divisors (see below), whose sum is σ = 3198827261952. Its totient is φ = 273414316032.

The previous prime is 1020020120039. The next prime is 1020020120113. The reversal of 1020020120112 is 2110210200201.

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

It is not an unprimeable number, because it can be changed into a prime (1020020120113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502593 + ... + 2073119.

Almost surely, 21020020120112 is an apocalyptic number.

1020020120112 is a gapful number since it is divisible by the number (12) 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 1020020120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599413630976).

1020020120112 is an abundant number, since it is smaller than the sum of its proper divisors (2178807141840).

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

1020020120112 is a wasteful number, since it uses less digits than its factorization.

1020020120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570875 (or 570869 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020020120112 its reverse (2110210200201), we get a palindrome (3130230320313).

The spelling of 1020020120112 in words is "one trillion, twenty billion, twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 313 336 357 408 476 626 714 816 939 952 1252 1428 1878 1904 2191 2504 2856 3756 4382 5008 5321 5712 6573 7512 8764 10642 13146 15024 15963 17528 21284 26292 31926 35056 37247 42568 52584 63852 74494 85136 105168 111741 127704 148988 223482 255408 297976 446964 570527 595952 893928 1141054 1711581 1787856 2282108 3423162 3993689 4564216 6846324 7987378 9128432 9698959 11981067 13692648 15974756 19397918 23962134 27385296 29096877 31949512 38795836 47924268 58193754 63899024 67892713 77591672 95848536 116387508 135785426 155183344 178574951 191697072 203678139 232775016 271570852 357149902 407356278 465550032 535724853 543141704 714299804 814712556 1071449706 1086283408 1250024657 1428599608 1629425112 2142899412 2500049314 2857199216 3035774167 3258850224 3750073971 4285798824 5000098628 6071548334 7500147942 8571597648 9107322501 10000197256 12143096668 15000295884 18214645002 20000394512 21250419169 24286193336 30000591768 36429290004 42500838338 48572386672 60001183536 63751257507 72858580008 85001676676 127502515014 145717160016 170003353352 255005030028 340006706704 510010060056 1020020120112