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30202401020 = 22511243928429
BaseRepresentation
bin11100001000001101…
…000001000011111100
32212221212010221101012
4130020031001003330
5443323303313040
621512542134352
72116305113201
oct341015010374
985855127335
1030202401020
1111899516a00
125a2a8813b8
132b042b020c
141667293ca8
15bbb7a9865
hex7083410fc

30202401020 has 72 divisors (see below), whose sum is σ = 69876391200. Its totient is φ = 10957288320.

The previous prime is 30202401013. The next prime is 30202401029. The reversal of 30202401020 is 2010420203.

It is a junction number, because it is equal to n+sod(n) for n = 30202400986 and 30202401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30202401029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048166 + ... + 1076594.

Almost surely, 230202401020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30202401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34938195600).

30202401020 is an abundant number, since it is smaller than the sum of its proper divisors (39673990180).

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

30202401020 is a wasteful number, since it uses less digits than its factorization.

30202401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28899 (or 28886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 30202401020 its reverse (2010420203), we get a palindrome (32212821223).

The spelling of 30202401020 in words is "thirty billion, two hundred two million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 439 484 605 878 1210 1756 2195 2420 4390 4829 8780 9658 19316 24145 28429 48290 53119 56858 96580 106238 113716 142145 212476 265595 284290 312719 531190 568580 625438 1062380 1250876 1563595 3127190 3439909 6254380 6879818 12480331 13759636 17199545 24960662 34399090 49921324 62401655 68798180 124803310 137283641 249606620 274567282 549134564 686418205 1372836410 1510120051 2745672820 3020240102 6040480204 7550600255 15101200510 30202401020