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5215551610100 = 2252139749738317
BaseRepresentation
bin100101111100101011100…
…0110011101110011110100
3200110121020202111110101212
41023321113012131303310
51140422422203010400
615031554043340552
71045545142134236
oct113712706356364
920417222443355
105215551610100
1117309a2a07597
12702985821758
132baa942b47a0
1414061103a256
1590a0611a335
hex4be5719dcf4

5215551610100 has 144 divisors (see below), whose sum is σ = 12317952985968. Its totient is φ = 1905276764160.

The previous prime is 5215551610081. The next prime is 5215551610111. The reversal of 5215551610100 is 10161555125.

It can be written as a sum of positive squares in 24 ways, for example, as 2401625879524 + 2813925730576 = 1549718^2 + 1677476^2 .

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, 627091142 + ... + 627099458.

Almost surely, 25215551610100 is an apocalyptic number.

5215551610100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5215551610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158976492984).

5215551610100 is an abundant number, since it is smaller than the sum of its proper divisors (7102401375868).

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

5215551610100 is a wasteful number, since it uses less digits than its factorization.

5215551610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414 (or 13407 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 32.

The spelling of 5215551610100 in words is "five trillion, two hundred fifteen billion, five hundred fifty-one million, six hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 260 325 388 485 650 970 1261 1300 1940 2425 2522 4850 4973 5044 6305 8317 9700 9946 12610 16634 19892 24865 25220 31525 33268 41585 49730 63050 64649 83170 99460 108121 124325 126100 129298 166340 207925 216242 248650 258596 323245 415850 432484 482381 497300 540605 646490 806749 831700 964762 1081210 1292980 1613498 1616225 1929524 2162420 2411905 2703025 3226996 3232450 4033745 4823810 5406050 6270953 6464900 8067490 9647620 10487737 10812100 12059525 12541906 16134980 20168725 20975474 24119050 25083812 31354765 40337450 41360441 41950948 48238100 52438685 62709530 80674900 82720882 104877370 125419060 156773825 165441764 206802205 209754740 262193425 313547650 413604410 524386850 537685733 627095300 827208820 1034011025 1048773700 1075371466 2068022050 2150742932 2688428665 4011962777 4136044100 5376857330 8023925554 10753714660 13442143325 16047851108 20059813885 26884286650 40119627770 52155516101 53768573300 80239255540 100299069425 104311032202 200598138850 208622064404 260777580505 401196277700 521555161010 1043110322020 1303887902525 2607775805050 5215551610100