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31020101460 = 22325867719861
BaseRepresentation
bin11100111000111100…
…010010111101010100
32222001211210102111200
4130320330102331110
51002012121221320
622130032232500
72145464340405
oct347074227524
988054712450
1031020101460
1112179047397
12601869b730
132c0481c92a
141703b099ac
15c1847b290
hex738f12f54

31020101460 has 72 divisors (see below), whose sum is σ = 94109890056. Its totient is φ = 8270657280.

The previous prime is 31020101393. The next prime is 31020101479. The reversal of 31020101460 is 6410102013.

It is a happy number.

31020101460 is a `hidden beast` number, since 3 + 1 + 0 + 201 + 0 + 1 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 599858064 + 30420243396 = 24492^2 + 174414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551930 + ... + 1571790.

Almost surely, 231020101460 is an apocalyptic number.

31020101460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31020101460 is an abundant number, since it is smaller than the sum of its proper divisors (63089788596).

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

31020101460 is a wasteful number, since it uses less digits than its factorization.

31020101460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28553 (or 28548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31020101460 its reverse (6410102013), we get a palindrome (37430203473).

The spelling of 31020101460 in words is "thirty-one billion, twenty million, one hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8677 17354 19861 26031 34708 39722 43385 52062 59583 78093 79444 86770 99305 104124 119166 130155 156186 173540 178749 198610 238332 260310 297915 312372 357498 390465 397220 520620 595830 714996 780930 893745 1191660 1561860 1787490 3574980 172333897 344667794 517001691 689335588 861669485 1034003382 1551005073 1723338970 2068006764 2585008455 3102010146 3446677940 5170016910 6204020292 7755025365 10340033820 15510050730 31020101460