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1011030020 = 2257112134591
BaseRepresentation
bin111100010000110…
…001100000000100
32121110102122110022
4330100301200010
54032310430040
6244153514312
734024420250
oct7420614004
92543378408
101011030020
11479777900
12242712998
131315cc820
14983bd260
155db5e6b5
hex3c431804

1011030020 has 144 divisors (see below), whose sum is σ = 2872902144. Its totient is φ = 290822400.

The previous prime is 1011030017. The next prime is 1011030023. The reversal of 1011030020 is 200301101.

It is an interprime number because it is at equal distance from previous prime (1011030017) and next prime (1011030023).

It is not an unprimeable number, because it can be changed into a prime (1011030023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217925 + ... + 222515.

Almost surely, 21011030020 is an apocalyptic number.

1011030020 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 1011030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436451072).

1011030020 is an abundant number, since it is smaller than the sum of its proper divisors (1861872124).

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

1011030020 is a wasteful number, since it uses less digits than its factorization.

1011030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1011030020 is about 31796.6982562655. The cubic root of 1011030020 is about 1003.6632376373.

Adding to 1011030020 its reverse (200301101), we get a palindrome (1211331121).

The spelling of 1011030020 in words is "one billion, eleven million, thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 4591 5005 6292 7865 8470 9182 10010 11011 15730 16940 18364 20020 22022 22955 31460 32137 44044 45910 50501 55055 59683 64274 91820 101002 110110 119366 128548 160685 202004 220220 238732 252505 298415 321370 353507 417781 505010 555511 596830 642740 656513 707014 835562 1010020 1111022 1193660 1313026 1414028 1671124 1767535 2088905 2222044 2626052 2777555 3282565 3535070 3888577 4177810 4595591 5555110 6565130 7070140 7221643 7777154 8355620 9191182 11110220 13130260 14443286 15554308 18382364 19442885 22977955 28886572 36108215 38885770 45955910 50551501 72216430 77771540 91911820 101103002 144432860 202206004 252757505 505515010 1011030020