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2110010130 = 232529261457
BaseRepresentation
bin111110111000100…
…0011001100010010
312110001100121202100
41331301003030102
513310130311010
6545212501230
7103200535014
oct17561031422
95401317670
102110010130
11993055928
124aa77a816
132781b4207
141603341b4
15c53932c0
hex7dc43312

2110010130 has 144 divisors (see below), whose sum is σ = 5787502344. Its totient is φ = 533191680.

The previous prime is 2110010117. The next prime is 2110010171. The reversal of 2110010130 is 310100112.

It can be written as a sum of positive squares in 12 ways, for example, as 127712601 + 1982297529 = 11301^2 + 44523^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4616862 + ... + 4617318.

Almost surely, 22110010130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893751172).

2110010130 is an abundant number, since it is smaller than the sum of its proper divisors (3677492214).

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

2110010130 is a wasteful number, since it uses less digits than its factorization.

2110010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2110010130 is about 45934.8465764282. The cubic root of 2110010130 is about 1282.6106649602.

Adding to 2110010130 its reverse (310100112), we get a palindrome (2420110242).

The spelling of 2110010130 in words is "two billion, one hundred ten million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 61 87 90 122 145 174 183 261 290 305 366 435 457 522 549 610 841 870 914 915 1098 1305 1371 1682 1769 1830 2285 2523 2610 2742 2745 3538 4113 4205 4570 5046 5307 5490 6855 7569 8226 8410 8845 10614 12615 13253 13710 15138 15921 17690 20565 25230 26506 26535 27877 31842 37845 39759 41130 51301 53070 55754 66265 75690 79518 79605 83631 102602 119277 132530 139385 153903 159210 167262 198795 238554 250893 256505 278770 307806 384337 397590 418155 461709 501786 513010 596385 768674 769515 808433 836310 923418 1153011 1192770 1254465 1539030 1616866 1921685 2306022 2308545 2425299 2508930 3459033 3843370 4042165 4617090 4850598 5765055 6918066 7275897 8084330 11530110 12126495 14551794 17295165 23444557 24252990 34590330 36379485 46889114 70333671 72758970 117222785 140667342 211001013 234445570 351668355 422002026 703336710 1055005065 2110010130