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101203830 = 23457131373
BaseRepresentation
bin1100000100000…
…11111101110110
321001102200120000
412002003331312
5201402010310
614013052130
72336134620
oct602037566
9231380500
10101203830
1152143a32
1229a87046
1317c75730
14d625c10
158d414c0
hex6083f76

101203830 has 160 divisors (see below), whose sum is σ = 335168064. Its totient is φ = 21337344.

The previous prime is 101203813. The next prime is 101203859. The reversal of 101203830 is 38302101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73024 + ... + 74396.

Almost surely, 2101203830 is an apocalyptic number.

101203830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167584032).

101203830 is an abundant number, since it is smaller than the sum of its proper divisors (233964234).

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

101203830 is a wasteful number, since it uses less digits than its factorization.

101203830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101203830 is about 10060.0114314050. The cubic root of 101203830 is about 466.0140202208.

Adding to 101203830 its reverse (38302101), we get a palindrome (139505931).

The spelling of 101203830 in words is "one hundred one million, two hundred three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1373 1638 1755 1890 2106 2457 2730 2746 2835 3510 4095 4119 4914 5265 5670 6865 7371 8190 8238 9611 10530 12285 12357 13730 14742 17849 19222 20595 24570 24714 28833 35698 36855 37071 41190 48055 53547 57666 61785 73710 74142 86499 89245 96110 107094 111213 123570 124943 144165 160641 172998 178490 185355 222426 249886 259497 267735 288330 321282 370710 374829 432495 481923 518994 535470 556065 624715 749658 778491 803205 864990 963846 1112130 1124487 1249430 1297485 1445769 1556982 1606410 1874145 2248974 2409615 2594970 2891538 3373461 3748290 3892455 4819230 5622435 6746922 7228845 7784910 10120383 11244870 14457690 16867305 20240766 33734610 50601915 101203830