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98022131032 = 23719234785223
BaseRepresentation
bin101101101001010010…
…0110000010101011000
3100101000022221012002111
41123102210300111120
53101222131143112
6113010350242104
710040036236450
oct1332244602530
9311008835074
1098022131032
1138630a34951
1216bb74b6334
139321b13787
144a5c4c6d60
15283a7995a7
hex16d2930558

98022131032 has 128 divisors (see below), whose sum is σ = 235627315200. Its totient is φ = 37257694848.

The previous prime is 98022131023. The next prime is 98022131057. The reversal of 98022131032 is 23013122089.

It is a junction number, because it is equal to n+sod(n) for n = 98022130985 and 98022131003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107573 + ... + 1192795.

It is an arithmetic number, because the mean of its divisors is an integer number (1840838400).

Almost surely, 298022131032 is an apocalyptic number.

98022131032 is a gapful number since it is divisible by the number (92) 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 98022131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117813657600).

98022131032 is an abundant number, since it is smaller than the sum of its proper divisors (137605184168).

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

98022131032 is a wasteful number, since it uses less digits than its factorization.

98022131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85325 (or 85321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 98022131032 in words is "ninety-eight billion, twenty-two million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 47 56 76 92 94 133 152 161 184 188 266 322 329 376 437 532 644 658 874 893 1064 1081 1288 1316 1748 1786 2162 2632 3059 3496 3572 4324 6118 6251 7144 7567 8648 12236 12502 15134 20539 24472 25004 30268 41078 50008 60536 82156 85223 143773 164312 170446 287546 340892 575092 596561 681784 1150184 1193122 1619237 1960129 2386244 3238474 3920258 4005481 4772488 6476948 7840516 8010962 11334659 12953896 13720903 15681032 16021924 22669318 27441806 28038367 32043848 37242451 45338636 54883612 56076734 74484902 76104139 90677272 92126063 109767224 112153468 148969804 152208278 184252126 224306936 260697157 297939608 304416556 368504252 521394314 532728973 608833112 644882441 737008504 1042788628 1065457946 1289764882 1750395197 2085577256 2130915892 2579529764 3500790394 4261831784 5159059528 7001580788 12252766379 14003161576 24505532758 49011065516 98022131032