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1021020120210 = 2353153173311953
BaseRepresentation
bin11101101101110011000…
…10101010010010010010
310121121102122111011120210
432312321202222102102
5113212022122321320
62101014500344550
7133523554553226
oct16667142522222
93547378434523
101021020120210
11364015270372
12145a696a5156
13753881066ac
14375bbdd6786
151b85bd3a0e0
hexedb98aa492

1021020120210 has 128 divisors (see below), whose sum is σ = 2578924210176. Its totient is φ = 258346782720.

The previous prime is 1021020120199. The next prime is 1021020120221. The reversal of 1021020120210 is 120210201201.

1021020120210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1021020120199) and next prime (1021020120221).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85413594 + ... + 85425546.

It is an arithmetic number, because the mean of its divisors is an integer number (20147845392).

Almost surely, 21021020120210 is an apocalyptic number.

1021020120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021020120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289462105088).

1021020120210 is an abundant number, since it is smaller than the sum of its proper divisors (1557904089966).

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

1021020120210 is a wasteful number, since it uses less digits than its factorization.

1021020120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13780.

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

Adding to 1021020120210 its reverse (120210201201), we get a palindrome (1141230321411).

The spelling of 1021020120210 in words is "one trillion, twenty-one billion, twenty million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 1733 3286 3466 4929 5199 8215 8665 9858 10398 11953 16430 17330 23906 24645 25995 35859 49290 51990 53723 59765 71718 91849 107446 119530 161169 179295 183698 268615 275547 322338 358590 370543 459245 537230 551094 633509 741086 805845 918490 1111629 1267018 1377735 1611690 1852715 1900527 2223258 2755470 2847319 3167545 3705430 3801054 5558145 5694638 6335090 8541957 9502635 11116290 14236595 17083914 19005270 19638779 20714549 28473190 39277558 41429098 42709785 58916337 62143647 85419570 98193895 103572745 117832674 124287294 196387790 207145490 294581685 310718235 589163370 621436470 642151019 1097871097 1284302038 1926453057 2195742194 3210755095 3293613291 3852906114 5489355485 6421510190 6587226582 9632265285 10978710970 16468066455 19264530570 32936132910 34034004007 68068008014 102102012021 170170020035 204204024042 340340040070 510510060105 1021020120210