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1010212013020 = 2257172659159631
BaseRepresentation
bin11101011001101010101…
…01000000001111011100
310120120112102010102210111
432230311111000033130
5113022403233404040
62052030205215404
7132661665300520
oct16546525001734
93516472112714
101010212013020
1135a479388481
12143951b61564
1374354b881b2
1436c747d7d80
151b428052dea
hexeb355403dc

1010212013020 has 96 divisors (see below), whose sum is σ = 2568108533760. Its totient is φ = 325859742720.

The previous prime is 1010212013017. The next prime is 1010212013101. The reversal of 1010212013020 is 203102120101.

1010212013020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10102120130202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 6248605 + ... + 6408235.

It is an arithmetic number, because the mean of its divisors is an integer number (26751130560).

Almost surely, 21010212013020 is an apocalyptic number.

1010212013020 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 1010212013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284054266880).

1010212013020 is an abundant number, since it is smaller than the sum of its proper divisors (1557896520740).

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

1010212013020 is a wasteful number, since it uses less digits than its factorization.

1010212013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162323 (or 162321 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1010212013020 its reverse (203102120101), we get a palindrome (1213314133121).

The spelling of 1010212013020 in words is "one trillion, ten billion, two hundred twelve million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 2659 5318 10636 13295 18613 26590 37226 45203 53180 74452 90406 93065 159631 180812 186130 226015 316421 319262 372260 452030 632842 638524 798155 904060 1117417 1265684 1582105 1596310 2234834 2713727 3164210 3192620 4469668 5427454 5587085 6328420 10854908 11174170 13568635 18996089 22348340 27137270 37992178 54274540 75984356 94980445 189960890 379921780 424458829 848917658 1697835316 2122294145 2971211803 4244588290 5942423606 7215800093 8489176580 11884847212 14431600186 14856059015 28863200372 29712118030 36079000465 50510600651 59424236060 72158000930 101021201302 144316001860 202042402604 252553003255 505106006510 1010212013020