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21355551100 = 225213411013967
BaseRepresentation
bin10011111000111000…
…111101100101111100
32001010022020101210001
4103320320331211330
5322214010113400
613451031324044
71354132121632
oct237070754574
961108211701
1021355551100
119069719694
12417bb20624
132024492890
141068347352
1584ec80a6a
hex4f8e3d97c

21355551100 has 144 divisors (see below), whose sum is σ = 51642694656. Its totient is φ = 7614720000.

The previous prime is 21355551071. The next prime is 21355551101. The reversal of 21355551100 is 115555312.

It is a super-2 number, since 2×213555511002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21355551101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5381317 + ... + 5385283.

It is an arithmetic number, because the mean of its divisors is an integer number (358629824).

Almost surely, 221355551100 is an apocalyptic number.

21355551100 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 21355551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25821347328).

21355551100 is an abundant number, since it is smaller than the sum of its proper divisors (30287143556).

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

21355551100 is a wasteful number, since it uses less digits than its factorization.

21355551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 21355551100 in words is "twenty-one billion, three hundred fifty-five million, five hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 101 130 164 202 205 260 325 404 410 505 533 650 820 1010 1025 1066 1300 1313 2020 2050 2132 2525 2626 2665 3967 4100 4141 5050 5252 5330 6565 7934 8282 10100 10660 13130 13325 15868 16564 19835 20705 26260 26650 32825 39670 41410 51571 53300 53833 65650 79340 82820 99175 103142 103525 107666 131300 162647 198350 206284 207050 215332 257855 269165 325294 396700 400667 414100 515710 538330 650588 801334 813235 1031420 1076660 1289275 1345825 1602668 1626470 2003335 2114411 2578550 2691650 3252940 4006670 4066175 4228822 5157100 5208671 5383300 8013340 8132350 8457644 10016675 10417342 10572055 16264700 16427347 20033350 20834684 21144110 26043355 32854694 40066700 42288220 52086710 52860275 65709388 82136735 104173420 105720550 130216775 164273470 211441100 213555511 260433550 328546940 410683675 427111022 520867100 821367350 854222044 1067777555 1642734700 2135555110 4271110220 5338887775 10677775550 21355551100