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1020010020 = 2235731791301
BaseRepresentation
bin111100110011000…
…001111000100100
32122002022212200220
4330303001320210
54042110310040
6245114204340
734163641101
oct7463017044
92562285626
101020010020
11483850697
122457236b0
13133425033
1499679aa8
155e8352d0
hex3ccc1e24

1020010020 has 96 divisors (see below), whose sum is σ = 2913563520. Its totient is φ = 266572800.

The previous prime is 1020010007. The next prime is 1020010031. The reversal of 1020010020 is 200100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1020009990 and 1020010008.

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, 783370 + ... + 784670.

It is an arithmetic number, because the mean of its divisors is an integer number (30349620).

Almost surely, 21020010020 is an apocalyptic number.

1020010020 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 1020010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456781760).

1020010020 is an abundant number, since it is smaller than the sum of its proper divisors (1893553500).

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

1020010020 is a wasteful number, since it uses less digits than its factorization.

1020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020010020 is about 31937.5957141423. The cubic root of 1020010020 is about 1006.6260057453.

Adding to 1020010020 its reverse (200100201), we get a palindrome (1220110221).

The spelling of 1020010020 in words is "one billion, twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 179 219 292 358 365 438 537 716 730 876 895 1074 1095 1301 1460 1790 2148 2190 2602 2685 3580 3903 4380 5204 5370 6505 7806 10740 13010 13067 15612 19515 26020 26134 39030 39201 52268 65335 78060 78402 94973 130670 156804 189946 196005 232879 261340 284919 379892 392010 465758 474865 569838 698637 784020 931516 949730 1139676 1164395 1397274 1424595 1899460 2328790 2794548 2849190 3493185 4657580 5698380 6986370 13972740 17000167 34000334 51000501 68000668 85000835 102001002 170001670 204002004 255002505 340003340 510005010 1020010020