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351125332530 = 235731263205081
BaseRepresentation
bin1010001110000001011…
…00110110001000110010
31020120022112021000101120
411013000230312020302
521223101041120110
6425145454243110
734240133040060
oct5070054661062
91216275230346
10351125332530
11125a03107335
12580731b6496
1327159a7b96b
1412dcd0c7030
159200c40870
hex51c0b36232

351125332530 has 128 divisors (see below), whose sum is σ = 997938855936. Its totient is φ = 77372582400.

The previous prime is 351125332529. The next prime is 351125332543. The reversal of 351125332530 is 35233521153.

It is a junction number, because it is equal to n+sod(n) for n = 351125332491 and 351125332500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1609590 + ... + 1814670.

It is an arithmetic number, because the mean of its divisors is an integer number (7796397312).

Almost surely, 2351125332530 is an apocalyptic number.

351125332530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 351125332530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498969427968).

351125332530 is an abundant number, since it is smaller than the sum of its proper divisors (646813523406).

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

351125332530 is a wasteful number, since it uses less digits than its factorization.

351125332530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205392.

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 351125332530 its reverse (35233521153), we get a palindrome (386358853683).

The spelling of 351125332530 in words is "three hundred fifty-one billion, one hundred twenty-five million, three hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 263 310 434 465 526 651 789 930 1085 1302 1315 1578 1841 2170 2630 3255 3682 3945 5523 6510 7890 8153 9205 11046 16306 18410 24459 27615 40765 48918 55230 57071 81530 114142 122295 171213 205081 244590 285355 342426 410162 570710 615243 856065 1025405 1230486 1435567 1712130 2050810 2871134 3076215 4306701 6152430 6357511 7177835 8613402 12715022 14355670 19072533 21533505 31787555 38145066 43067010 44502577 53936303 63575110 89005154 95362665 107872606 133507731 161808909 190725330 222512885 267015462 269681515 323617818 377554121 445025770 539363030 667538655 755108242 809044545 1132662363 1335077310 1618089090 1672025393 1887770605 2265324726 3344050786 3775541210 5016076179 5663311815 8360126965 10032152358 11326623630 11704177751 16720253930 23408355502 25080380895 35112533253 50160761790 58520888755 70225066506 117041777510 175562666265 351125332530