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31020030030 = 23511313781953
BaseRepresentation
bin11100111000111100…
…000001100001001110
32222001211122210112010
4130320330001201032
51002012111430110
622130030522050
72145463622223
oct347074014116
988054583463
1031020030030
1112178aa8760
126018666326
132c047c6272
141703acb94a
15c18465020
hex738f0184e

31020030030 has 128 divisors (see below), whose sum is σ = 86102839296. Its totient is φ = 7080652800.

The previous prime is 31020029987. The next prime is 31020030073. The reversal of 31020030030 is 3003002013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31020029987) and next prime (31020030073).

It is a junction number, because it is equal to n+sod(n) for n = 31020029988 and 31020030015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337534 + ... + 419486.

It is an arithmetic number, because the mean of its divisors is an integer number (672678432).

Almost surely, 231020030030 is an apocalyptic number.

31020030030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43051419648).

31020030030 is an abundant number, since it is smaller than the sum of its proper divisors (55082809266).

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

31020030030 is a wasteful number, since it uses less digits than its factorization.

31020030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82042.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 31020030030 its reverse (3003002013), we get a palindrome (34023032043).

The spelling of 31020030030 in words is "thirty-one billion, twenty million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 407 465 555 682 814 930 1023 1110 1147 1221 1705 2035 2046 2294 2442 3410 3441 4070 5115 5735 6105 6882 10230 11470 12210 12617 17205 25234 34410 37851 63085 75702 81953 126170 163906 189255 245859 378510 409765 491718 819530 901483 1229295 1802966 2458590 2540543 2704449 3032261 4507415 5081086 5408898 6064522 7621629 9014830 9096783 12702715 13522245 15161305 15243258 18193566 25405430 27044490 27945973 30322610 33354871 38108145 45483915 55891946 66709742 76216290 83837919 90967830 94000091 100064613 139729865 166774355 167675838 188000182 200129226 279459730 282000273 333548710 419189595 470000455 500323065 564000546 838379190 940000910 1000646130 1034001001 1410001365 2068002002 2820002730 3102003003 5170005005 6204006006 10340010010 15510015015 31020030030