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10302201029988 = 2232738271008853
BaseRepresentation
bin1001010111101010101100…
…0010000110010101100100
31100110212210002210012002200
42111322223002012111210
52322242401430424423
633524433225534500
72112211100616000
oct225725302062544
940425702705080
1010302201029988
1133121589a376a
1211a4776344430
13599654c8952a
142788b46d9700
1512ceb5973d43
hex95eab086564

10302201029988 has 144 divisors (see below), whose sum is σ = 30406052476800. Its totient is φ = 2939923861056.

The previous prime is 10302201029987. The next prime is 10302201030001. The reversal of 10302201029988 is 88992010220301.

It is a happy number.

It is a super-2 number, since 2×103022010299882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10302201029987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9707370 + ... + 10716222.

It is an arithmetic number, because the mean of its divisors is an integer number (211153142200).

Almost surely, 210302201029988 is an apocalyptic number.

10302201029988 is a gapful number since it is divisible by the number (18) 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 10302201029988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203026238400).

10302201029988 is an abundant number, since it is smaller than the sum of its proper divisors (20103851446812).

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

10302201029988 is a wasteful number, since it uses less digits than its factorization.

10302201029988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009711 (or 1009692 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10302201029988 in words is "ten trillion, three hundred two billion, two hundred one million, twenty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 827 882 1029 1372 1654 1764 2058 2481 3087 3308 4116 4962 5789 6174 7443 9924 11578 12348 14886 17367 23156 29772 34734 40523 52101 69468 81046 104202 121569 162092 208404 243138 283661 364707 486276 567322 729414 850983 1008853 1134644 1458828 1701966 2017706 2552949 3026559 3403932 4035412 5105898 6053118 7061971 9079677 10211796 12106236 14123942 18159354 21185913 28247884 36318708 42371826 49433797 63557739 84743652 98867594 127115478 148301391 197735188 254230956 296602782 346036579 444904173 593205564 692073158 834321431 889808346 1038109737 1384146316 1668642862 1779616692 2076219474 2502964293 3114329211 3337285724 4152438948 5005928586 5840250017 6228658422 7508892879 10011857172 11680500034 12457316844 15017785758 17520750051 23361000068 30035571516 35041500102 40881750119 52562250153 70083000204 81763500238 105124500306 122645250357 163527000476 210249000612 245290500714 286172250833 367935751071 490581001428 572344501666 735871502142 858516752499 1144689003332 1471743004284 1717033504998 2575550257497 3434067009996 5151100514994 10302201029988