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30100029990 = 23547241283313
BaseRepresentation
bin11100000010000110…
…100000001000100110
32212200201111221201120
4130002012200020212
5443121101424430
621454444034410
72113623014322
oct340206401046
985621457646
1030100029990
1111846756048
125a00532a06
132ab9019444
141657846982
15bb27d7610
hex7021a0226

30100029990 has 128 divisors (see below), whose sum is σ = 74582525952. Its totient is φ = 7770746880.

The previous prime is 30100029989. The next prime is 30100030021. The reversal of 30100029990 is 9992000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96166074 + ... + 96166386.

It is an arithmetic number, because the mean of its divisors is an integer number (582675984).

Almost surely, 230100029990 is an apocalyptic number.

30100029990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100029990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291262976).

30100029990 is an abundant number, since it is smaller than the sum of its proper divisors (44482495962).

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

30100029990 is a wasteful number, since it uses less digits than its factorization.

30100029990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its (nonzero) digits is 4374, while the sum is 33.

The spelling of 30100029990 in words is "thirty billion, one hundred million, twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 241 282 283 313 470 482 566 626 705 723 849 939 1205 1410 1415 1446 1565 1698 1878 2410 2830 3130 3615 4245 4695 7230 8490 9390 11327 13301 14711 22654 26602 29422 33981 39903 44133 56635 66505 67962 68203 73555 75433 79806 88266 88579 113270 133010 136406 147110 150866 169905 177158 199515 204609 220665 226299 265737 339810 341015 377165 399030 409218 441330 442895 452598 531474 682030 754330 885790 1023045 1131495 1328685 2046090 2262990 2657370 3205541 3545351 4163213 6411082 7090702 8326426 9616623 10636053 12489639 16027705 17726755 19233246 20816065 21272106 21347539 24979278 32055410 35453510 41632130 42695078 48083115 53180265 62448195 64042617 96166230 106360530 106737695 124896390 128085234 213475390 320213085 640426170 1003334333 2006668666 3010002999 5016671665 6020005998 10033343330 15050014995 30100029990