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10060601111000 = 235311942197081
BaseRepresentation
bin1001001001100110101010…
…0011100011000111011000
31022121210011120220122211222
42102121222203203013120
52304313102341023000
633221435405111212
72055566034316226
oct222315243430730
938553146818758
1010060601111000
11322974a058730
12116598ab58508
1357c9312acb9b
1426ad15777b16
15126a75332a85
hex9266a8e31d8

10060601111000 has 128 divisors (see below), whose sum is σ = 25684961440320. Its totient is φ = 3657974400000.

The previous prime is 10060601110999. The next prime is 10060601111009. The reversal of 10060601111000 is 11110606001.

It is a self number, because there is not a number n which added to its sum of digits gives 10060601111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060601111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103582460 + ... + 103679540.

Almost surely, 210060601111000 is an apocalyptic number.

10060601111000 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 10060601111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842480720160).

10060601111000 is an abundant number, since it is smaller than the sum of its proper divisors (15624360329320).

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

10060601111000 is a wasteful number, since it uses less digits than its factorization.

10060601111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106534 (or 106520 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10060601111000 its reverse (11110606001), we get a palindrome (10071711717001).

The spelling of 10060601111000 in words is "ten trillion, sixty billion, six hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9421 11000 18842 37684 47105 75368 94210 97081 103631 188420 194162 207262 235525 376840 388324 414524 471050 485405 518155 776648 829048 942100 970810 1036310 1067891 1177625 1884200 1941620 2072620 2135782 2355250 2427025 2590775 3883240 4145240 4271564 4710500 4854050 5181550 5339455 8543128 9421000 9708100 10363100 10678910 12135125 12953875 19416200 20726200 21357820 24270250 25907750 26697275 42715640 48540500 51815500 53394550 97081000 103631000 106789100 133486375 213578200 266972750 533945500 914600101 1067891000 1829200202 3658400404 4573000505 7316800808 9146001010 10060601111 18292002020 20121202222 22865002525 36584004040 40242404444 45730005050 50303005555 80484808888 91460010100 100606011110 114325012625 182920020200 201212022220 228650025250 251515027775 402424044440 457300050500 503030055550 914600101000 1006060111100 1257575138875 2012120222200 2515150277750 5030300555500 10060601111000