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1011021211020 = 2235291811320843
BaseRepresentation
bin11101011011001011000…
…11110110010110001100
310120122121210202221202210
432231211203312112030
5113031032412223040
62052242353150420
7133021022333412
oct16554543662614
93518553687683
101011021211020
1135a854130957
12143b38b5b410
137445370b892
1436d100792b2
151b4740e5480
hexeb658f658c

1011021211020 has 96 divisors (see below), whose sum is σ = 2930101413120. Its totient is φ = 260164360960.

The previous prime is 1011021210949. The next prime is 1011021211021. The reversal of 1011021211020 is 201121201101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011021210987 and 1011021211005.

It is not an unprimeable number, because it can be changed into a prime (1011021211021) 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, 2990719 + ... + 3311561.

It is an arithmetic number, because the mean of its divisors is an integer number (30521889720).

Almost surely, 21011021211020 is an apocalyptic number.

1011021211020 is a gapful number since it is divisible by the number (10) 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 1011021211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465050706560).

1011021211020 is an abundant number, since it is smaller than the sum of its proper divisors (1919080202100).

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

1011021211020 is a wasteful number, since it uses less digits than its factorization.

1011021211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322695 (or 322693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011021211020 its reverse (201121201101), we get a palindrome (1212142412121).

The spelling of 1011021211020 in words is "one trillion, eleven billion, twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1811 3622 5433 7244 9055 10866 18110 21732 27165 36220 52519 54330 105038 108660 157557 210076 262595 315114 320843 525190 630228 641686 787785 962529 1050380 1283372 1575570 1604215 1925058 3151140 3208430 3850116 4812645 6416860 9304447 9625290 18608894 19250580 27913341 37217788 46522235 55826682 93044470 111653364 139566705 186088940 279133410 558266820 581046673 1162093346 1743140019 2324186692 2905233365 3486280038 5810466730 6972560076 8715700095 11620933460 16850353517 17431400190 33700707034 34862800380 50551060551 67401414068 84251767585 101102121102 168503535170 202204242204 252755302755 337007070340 505510605510 1011021211020