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103032210132020 = 225131747495967123
BaseRepresentation
bin10111011011010100001110…
…010010010000110000110100
3111111210210010212122001021102
4113123110032102100300310
5102001034431243211040
61003044202141105232
730462555134043641
oct2733241622206064
9444723125561242
10103032210132020
112a913795636874
12b6803ba858218
134564b84ba9260
141b62add8aadc8
15bda186bab515
hex5db50e490c34

103032210132020 has 96 divisors (see below), whose sum is σ = 251967169939968. Its totient is φ = 35043052972032.

The previous prime is 103032210131957. The next prime is 103032210132083. The reversal of 103032210132020 is 20231012230301.

It is an interprime number because it is at equal distance from previous prime (103032210131957) and next prime (103032210132083).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103032210131983 and 103032210132001.

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, 247775822 + ... + 248191301.

It is an arithmetic number, because the mean of its divisors is an integer number (2624658020208).

Almost surely, 2103032210132020 is an apocalyptic number.

103032210132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103032210132020 is an abundant number, since it is smaller than the sum of its proper divisors (148934959807948).

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

103032210132020 is a wasteful number, since it uses less digits than its factorization.

103032210132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495967209 (or 495967207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103032210132020 its reverse (20231012230301), we get a palindrome (123263222362321).

The spelling of 103032210132020 in words is "one hundred three trillion, thirty-two billion, two hundred ten million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 340 442 470 611 799 884 940 1105 1222 1598 2210 2444 3055 3196 3995 4420 6110 7990 10387 12220 15980 20774 41548 51935 103870 207740 495967123 991934246 1983868492 2479835615 4959671230 6447572599 8431441091 9919342460 12895145198 16862882182 23310454781 25790290396 32237862995 33725764364 42157205455 46620909562 64475725990 84314410910 93241819124 109608734183 116552273905 128951451980 168628821820 219217468366 233104547810 303035912153 396277731277 438434936732 466209095620 548043670915 606071824306 792555462554 1096087341830 1212143648612 1515179560765 1585110925108 1981388656385 2192174683660 3030359121530 3962777312770 5151610506601 6060718243060 7925554625540 10303221013202 20606442026404 25758052533005 51516105066010 103032210132020