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1011001021220 = 2252329222134123
BaseRepresentation
bin11101011011001000101…
…10110101001100100100
310120122120101210012120102
432231210112311030210
5113031012230134340
62052240352323232
7133020355614131
oct16554426651444
93518511705512
101011001021220
1135a8437a0a73
12143b32243518
137444c48cc58
1436d0b501588
151b472458215
hexeb645b5324

1011001021220 has 96 divisors (see below), whose sum is σ = 2292903486720. Its totient is φ = 373300139520.

The previous prime is 1011001021153. The next prime is 1011001021231. The reversal of 1011001021220 is 221201001101.

1011001021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29611079 + ... + 29645201.

It is an arithmetic number, because the mean of its divisors is an integer number (23884411320).

Almost surely, 21011001021220 is an apocalyptic number.

1011001021220 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 1011001021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146451743360).

1011001021220 is an abundant number, since it is smaller than the sum of its proper divisors (1281902465500).

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

1011001021220 is a wasteful number, since it uses less digits than its factorization.

1011001021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36405 (or 36403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011001021220 its reverse (221201001101), we get a palindrome (1232202022321).

The spelling of 1011001021220 in words is "one trillion, eleven billion, one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2221 2668 3335 4442 6670 8884 11105 13340 22210 34123 44420 51083 64409 68246 102166 128818 136492 170615 204332 255415 257636 322045 341230 510830 644090 682460 784829 989567 1021660 1288180 1481407 1569658 1979134 2962814 3139316 3924145 3958268 4947835 5925628 7407035 7848290 9895670 14814070 15696580 19791340 22760041 29628140 45520082 75787183 91040164 113800205 151574366 227600410 303148732 378935915 455200820 757871830 1515743660 1743105209 2197828307 3486210418 4395656614 6972420836 8715526045 8791313228 10989141535 17431052090 21978283070 34862104180 43956566140 50550051061 101100102122 202200204244 252750255305 505500510610 1011001021220