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10202003321312 = 2511532179250963
BaseRepresentation
bin1001010001110101011011…
…0010001011000111100000
31100010022011011010012112102
42110131112302023013200
52314122200322240222
633410422521145532
72102033103265235
oct224352662130740
940108134105472
1010202003321312
113283710a00170
12118927232b2a8
1359007751570a
14273acb2d178c
1512a59e1d3d92
hex94756c8b1e0

10202003321312 has 96 divisors (see below), whose sum is σ = 22334872452480. Its totient is φ = 4547672363520.

The previous prime is 10202003321303. The next prime is 10202003321359. The reversal of 10202003321312 is 21312330020201.

It is a super-2 number, since 2×102020033213122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40525943 + ... + 40776905.

It is an arithmetic number, because the mean of its divisors is an integer number (232654921380).

Almost surely, 210202003321312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202003321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167436226240).

10202003321312 is an abundant number, since it is smaller than the sum of its proper divisors (12132869131168).

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

10202003321312 is a wasteful number, since it uses less digits than its factorization.

10202003321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253216 (or 253208 counting only the distinct ones).

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

Adding to 10202003321312 its reverse (21312330020201), we get a palindrome (31514333341513).

The spelling of 10202003321312 in words is "ten trillion, two hundred two billion, three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2179 2332 4358 4664 8716 9328 17432 18656 23969 34864 47938 69728 95876 115487 191752 230974 250963 383504 461948 501926 767008 923896 1003852 1270357 1847792 2007704 2540714 2760593 3695584 4015408 5081428 5521186 8030816 10162856 11042372 13301039 20325712 22084744 26602078 40651424 44169488 53204156 88338976 106408312 146311429 212816624 292622858 425633248 546848377 585245716 1093696754 1170491432 2187393508 2340982864 4374787016 4681965728 6015332147 8749574032 12030664294 17499148064 24061328588 28982963981 48122657176 57965927962 96245314352 115931855924 192490628704 231863711848 318812603791 463727423696 637625207582 927454847392 1275250415164 2550500830328 5101001660656 10202003321312