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100701330 = 235193141139
BaseRepresentation
bin1100000000010…
…01010010010010
321000111011020220
412000021102102
5201234420310
613554213510
72331642612
oct600112222
9230434226
10100701330
1151930444
1229884296
1317b2aab2
14d534a42
158c92670
hex6009492

100701330 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 23846400.

The previous prime is 100701323. The next prime is 100701331. The reversal of 100701330 is 33107001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100701331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724401 + ... + 724539.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2100701330 is an apocalyptic number.

100701330 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 100701330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

100701330 is an abundant number, since it is smaller than the sum of its proper divisors (170249070).

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

100701330 is a wasteful number, since it uses less digits than its factorization.

100701330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 100701330 is about 10035.0052316877. The cubic root of 100701330 is about 465.2414516652.

Adding to 100701330 its reverse (33107001), we get a palindrome (133808331).

The spelling of 100701330 in words is "one hundred million, seven hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 41 57 62 82 93 95 114 123 139 155 186 190 205 246 278 285 310 410 417 465 570 589 615 695 779 834 930 1178 1230 1271 1390 1558 1767 2085 2337 2542 2641 2945 3534 3813 3895 4170 4309 4674 5282 5699 5890 6355 7626 7790 7923 8618 8835 11398 11685 12710 12927 13205 15846 17097 17670 19065 21545 23370 24149 25854 26410 28495 34194 38130 39615 43090 48298 56990 64635 72447 79230 81871 85485 108281 120745 129270 144894 163742 170970 176669 216562 241490 245613 324843 353338 362235 409355 491226 530007 541405 649686 724470 818710 883345 1060014 1082810 1228065 1624215 1766690 2456130 2650035 3248430 3356711 5300070 6713422 10070133 16783555 20140266 33567110 50350665 100701330