Search a number
-
+
1010021020000 = 255452196931
BaseRepresentation
bin11101011001010011111…
…00011011000101100000
310120120001002201222121221
432230221330123011200
5113022010340120000
62051555223424424
7132654156005536
oct16545174330540
93516032658557
101010021020000
1135a390597603
121438b9bb5114
1374324435785
1436c572bc156
151b4163c761a
hexeb29f1b160

1010021020000 has 120 divisors (see below), whose sum is σ = 2489598192312. Its totient is φ = 403228800000.

The previous prime is 1010021019991. The next prime is 1010021020013. The reversal of 1010021020000 is 201200101.

1010021020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10371535 + ... + 10468465.

Almost surely, 21010021020000 is an apocalyptic number.

1010021020000 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 1010021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244799096156).

1010021020000 is an abundant number, since it is smaller than the sum of its proper divisors (1479577172312).

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

1010021020000 is an frugal number, since it uses more digits than its factorization.

1010021020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97482 (or 97459 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010021020000 its reverse (201200101), we get a palindrome (1010222220101).

The spelling of 1010021020000 in words is "one trillion, ten billion, twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 521 625 800 1000 1042 1250 2000 2084 2500 2605 4000 4168 5000 5210 8336 10000 10420 13025 16672 20000 20840 26050 41680 52100 65125 83360 96931 104200 130250 193862 208400 260500 325625 387724 416800 484655 521000 651250 775448 969310 1042000 1302500 1550896 1938620 2084000 2423275 2605000 3101792 3877240 4846550 5210000 7754480 9693100 10420000 12116375 15508960 19386200 24232750 38772400 48465500 50501051 60581875 77544800 96931000 101002102 121163750 193862000 202004204 242327500 252505255 387724000 404008408 484655000 505010510 808016816 969310000 1010021020 1262526275 1616033632 1938620000 2020042040 2525052550 4040084080 5050105100 6312631375 8080168160 10100210200 12625262750 20200420400 25250525500 31563156875 40400840800 50501051000 63126313750 101002102000 126252627500 202004204000 252505255000 505010510000 1010021020000