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21210531100 = 225211175321401
BaseRepresentation
bin10011110000001111…
…110000010100011100
32000202012100121201221
4103300033300110130
5321414343443400
613424411143124
71350421353043
oct236017602434
960665317657
1021210531100
118aa4878a50
12413b444aa4
132000418625
141052d9755a
15842186c1a
hex4f03f051c

21210531100 has 144 divisors (see below), whose sum is σ = 54170345376. Its totient is φ = 7121920000.

The previous prime is 21210531071. The next prime is 21210531113. The reversal of 21210531100 is 113501212.

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, 980400 + ... + 1001800.

It is an arithmetic number, because the mean of its divisors is an integer number (376182954).

Almost surely, 221210531100 is an apocalyptic number.

21210531100 is a gapful number since it is divisible by the number (20) 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 21210531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085172688).

21210531100 is an abundant number, since it is smaller than the sum of its proper divisors (32959814276).

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

21210531100 is a wasteful number, since it uses less digits than its factorization.

21210531100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21496 (or 21489 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 21210531100 in words is "twenty-one billion, two hundred ten million, five hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 53 55 68 85 100 106 110 170 187 212 220 265 275 340 374 425 530 550 583 748 850 901 935 1060 1100 1166 1325 1700 1802 1870 2332 2650 2915 3604 3740 4505 4675 5300 5830 9010 9350 9911 11660 14575 18020 18700 19822 21401 22525 29150 39644 42802 45050 49555 58300 85604 90100 99110 107005 198220 214010 235411 247775 363817 428020 470822 495550 535025 727634 941644 991100 1070050 1134253 1177055 1455268 1819085 2140100 2268506 2354110 3638170 4001987 4537012 4708220 5671265 5885275 7276340 8003974 9095425 11342530 11770550 12476783 16007948 18190850 19282301 20009935 22685060 23541100 24953566 28356325 36381700 38564602 40019870 49907132 56712650 62383915 77129204 80039740 96411505 100049675 113425300 124767830 192823010 200099350 212105311 249535660 311919575 385646020 400198700 424210622 482057525 623839150 848421244 964115050 1060526555 1247678300 1928230100 2121053110 4242106220 5302632775 10605265550 21210531100