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101553421520 = 24541893311051
BaseRepresentation
bin101111010010100001…
…1100011110011010000
3100201010102200022222002
41132211003203303100
53130440133442040
6114353014133132
710223405561135
oct1364503436320
9321112608862
10101553421520
113a083293741
12178220511a8
1397655b7585
144cb54ac58c
1529957d7a15
hex17a50e3cd0

101553421520 has 160 divisors (see below), whose sum is σ = 245560533120. Its totient is φ = 39029760000.

The previous prime is 101553421471. The next prime is 101553421531. The reversal of 101553421520 is 25124355101.

It is a super-2 number, since 2×1015534215202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96624995 + ... + 96626045.

It is an arithmetic number, because the mean of its divisors is an integer number (1534753332).

Almost surely, 2101553421520 is an apocalyptic number.

101553421520 is a gapful number since it is divisible by the number (10) 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 101553421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122780266560).

101553421520 is an abundant number, since it is smaller than the sum of its proper divisors (144007111600).

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

101553421520 is a wasteful number, since it uses less digits than its factorization.

101553421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 101553421520 its reverse (25124355101), we get a palindrome (126677776621).

The spelling of 101553421520 in words is "one hundred one billion, five hundred fifty-three million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 89 164 178 205 328 331 356 410 445 656 662 712 820 890 1051 1324 1424 1640 1655 1780 2102 2648 3280 3310 3560 3649 4204 5255 5296 6620 7120 7298 8408 10510 13240 13571 14596 16816 18245 21020 26480 27142 29192 29459 36490 42040 43091 54284 58384 58918 67855 72980 84080 86182 93539 108568 117836 135710 145960 147295 172364 187078 215455 217136 235672 271420 291920 294590 344728 347881 374156 430910 467695 471344 542840 589180 689456 695762 748312 861820 935390 1085680 1178360 1207819 1391524 1496624 1723640 1739405 1870780 2356720 2415638 2783048 3447280 3478810 3741560 3835099 4831276 5566096 6039095 6957620 7483120 7670198 9662552 12078190 13915240 14263121 15340396 19175495 19325104 24156380 27830480 28526242 30680792 30961409 38350990 48312760 57052484 61361584 61922818 71315605 76701980 96625520 114104968 123845636 142631210 153403960 154807045 228209936 247691272 285262420 306807920 309614090 495382544 570524840 619228180 1141049680 1238456360 1269417769 2476912720 2538835538 5077671076 6347088845 10155342152 12694177690 20310684304 25388355380 50776710760 101553421520