Search a number
-
+
4512155010100 = 2252893671381427
BaseRepresentation
bin100000110101001000101…
…1001011000010000110100
3120222100122211200220101221
41001222101121120100310
51042411343140310400
613332504433200124
7643664256523633
oct101522131302064
916870584626357
104512155010100
11148a659965061
1260a59b700044
1326965724247a
141185649b151a
157c588c7cc1a
hex41a91658434

4512155010100 has 72 divisors (see below), whose sum is σ = 9928378293120. Its totient is φ = 1779718744320.

The previous prime is 4512155010073. The next prime is 4512155010107. The reversal of 4512155010100 is 10105512154.

It is a super-2 number, since 2×45121550101002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4512155010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2575587 + ... + 3957013.

It is an arithmetic number, because the mean of its divisors is an integer number (137894142960).

Almost surely, 24512155010100 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 4512155010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964189146560).

4512155010100 is an abundant number, since it is smaller than the sum of its proper divisors (5416223283020).

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

4512155010100 is a wasteful number, since it uses less digits than its factorization.

4512155010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381897 (or 1381890 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 4512155010100 in words is "four trillion, five hundred twelve billion, one hundred fifty-five million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 367 445 734 890 1468 1780 1835 2225 3670 4450 7340 8900 9175 18350 32663 36700 65326 130652 163315 326630 653260 816575 1381427 1633150 2762854 3266300 5525708 6907135 13814270 27628540 34535675 69071350 122947003 138142700 245894006 491788012 506983709 614735015 1013967418 1229470030 2027934836 2458940060 2534918545 3073675075 5069837090 6147350150 10139674180 12294700300 12674592725 25349185450 45121550101 50698370900 90243100202 180486200404 225607750505 451215501010 902431002020 1128038752525 2256077505050 4512155010100