Search a number
-
+
61212665362100 = 225271741125461499
BaseRepresentation
bin11011110101100001011110…
…01011001011011010110100
322000201212120220012200111212
431322300233023023122310
531010402014313041400
6334104413225420552
715615316624433420
oct1572605713133264
9260655526180455
1061212665362100
11185601668711aa
126a4751193a758
1328204391000a5
1411189ccd9bb80
1571243663d335
hex37ac2f2cb6b4

61212665362100 has 144 divisors (see below), whose sum is σ = 164657679984000. Its totient is φ = 19270886092800.

The previous prime is 61212665362019. The next prime is 61212665362129. The reversal of 61212665362100 is 126356621216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62242850 + ... + 63218649.

It is an arithmetic number, because the mean of its divisors is an integer number (1143456111000).

Almost surely, 261212665362100 is an apocalyptic number.

It is an amenable number.

61212665362100 is an abundant number, since it is smaller than the sum of its proper divisors (103445014621900).

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

61212665362100 is a wasteful number, since it uses less digits than its factorization.

61212665362100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125461578 (or 125461571 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 61212665362100 in words is "sixty-one trillion, two hundred twelve billion, six hundred sixty-five million, three hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 41 50 68 70 82 85 100 119 140 164 170 175 205 238 287 340 350 410 425 476 574 595 697 700 820 850 1025 1148 1190 1394 1435 1700 2050 2380 2788 2870 2975 3485 4100 4879 5740 5950 6970 7175 9758 11900 13940 14350 17425 19516 24395 28700 34850 48790 69700 97580 121975 243950 487900 125461499 250922998 501845996 627307495 878230493 1254614990 1756460986 2132845483 2509229980 3136537475 3512921972 4265690966 4391152465 5143921459 6273074950 8531381932 8782304930 10287842918 10664227415 12546149900 14929918381 17564609860 20575685836 21328454830 21955762325 25719607295 29859836762 36007450213 42656909660 43911524650 51439214590 53321137075 59719673524 72014900426 74649591905 87446664803 87823049300 102878429180 106642274150 128598036475 144029800852 149299183810 174893329606 180037251065 213284548300 257196072950 298598367620 349786659212 360074502130 373247959525 437233324015 514392145900 612126653621 720149004260 746495919050 874466648030 900186255325 1224253307242 1492991838100 1748933296060 1800372510650 2186166620075 2448506614484 3060633268105 3600745021300 4372333240150 6121266536210 8744666480300 12242533072420 15303166340525 30606332681050 61212665362100