Search a number
-
+
10030221144 = 2333195214691
BaseRepresentation
bin10010101011101100…
…10000011101011000
3221220000122000202000
421111312100131120
5131020214034034
64335142241000
7503362321146
oct112566203530
927800560660
1010030221144
114287886669
121b3b126160
13c3b03bcc8
146b218c596
153da87c599
hex255d90758

10030221144 has 128 divisors (see below), whose sum is σ = 29390688000. Its totient is φ = 3160684800.

The previous prime is 10030221127. The next prime is 10030221193. The reversal of 10030221144 is 44112203001.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2135839 + ... + 2140529.

It is an arithmetic number, because the mean of its divisors is an integer number (229614750).

Almost surely, 210030221144 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 10030221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695344000).

10030221144 is an abundant number, since it is smaller than the sum of its proper divisors (19360466856).

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

10030221144 is a wasteful number, since it uses less digits than its factorization.

10030221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10030221144 its reverse (44112203001), we get a palindrome (54142424145).

The spelling of 10030221144 in words is "ten billion, thirty million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 521 684 1026 1042 1368 1563 2052 2084 3126 4104 4168 4689 4691 6252 9378 9382 9899 12504 14067 14073 18756 18764 19798 28134 28146 29697 37512 37528 39596 42219 56268 56292 59394 79192 84438 89091 89129 112536 112584 118788 126657 168876 178182 178258 237576 253314 267273 267387 337752 356364 356516 506628 534546 534774 712728 713032 802161 1013256 1069092 1069548 1604322 2138184 2139096 2406483 2444011 3208644 4812966 4888022 6417288 7332033 9625932 9776044 14664066 19251864 19552088 21996099 29328132 43992198 46436209 58656264 65988297 87984396 92872418 131976594 139308627 175968792 185744836 263953188 278617254 371489672 417925881 527906376 557234508 835851762 1114469016 1253777643 1671703524 2507555286 3343407048 5015110572 10030221144