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31001003220 = 223511331141907
BaseRepresentation
bin11100110111110011…
…011100010011010100
32222000111212010122110
4130313303130103110
51001442224100340
622124111031020
72145143115405
oct346763342324
988014763573
1031001003220
1112169292620
12601220b470
132c00893ab5
1417013779ac
15c16957680
hex737cdc4d4

31001003220 has 96 divisors (see below), whose sum is σ = 94980727296. Its totient is φ = 7492636800.

The previous prime is 31001003213. The next prime is 31001003227. The reversal of 31001003220 is 2230010013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31001003213) and next prime (31001003227).

It is a super-2 number, since 2×310010032202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31001003196 and 31001003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001003227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147507 + ... + 289413.

It is an arithmetic number, because the mean of its divisors is an integer number (989382576).

Almost surely, 231001003220 is an apocalyptic number.

31001003220 is a gapful number since it is divisible by the number (30) 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 31001003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47490363648).

31001003220 is an abundant number, since it is smaller than the sum of its proper divisors (63979724076).

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

31001003220 is a wasteful number, since it uses less digits than its factorization.

31001003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142261 (or 142259 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31001003220 its reverse (2230010013), we get a palindrome (33231013233).

The spelling of 31001003220 in words is "thirty-one billion, one million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 331 660 662 993 1324 1655 1986 3310 3641 3972 4965 6620 7282 9930 10923 14564 18205 19860 21846 36410 43692 54615 72820 109230 141907 218460 283814 425721 567628 709535 851442 1419070 1560977 1702884 2128605 2838140 3121954 4257210 4682931 6243908 7804885 8514420 9365862 15609770 18731724 23414655 31219540 46829310 46971217 93658620 93942434 140913651 187884868 234856085 281827302 469712170 516683387 563654604 704568255 939424340 1033366774 1409136510 1550050161 2066733548 2583416935 2818273020 3100100322 5166833870 6200200644 7750250805 10333667740 15500501610 31001003220