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10219270308 = 22313192792297
BaseRepresentation
bin10011000010001110…
…11011000010100100
3222101012100201102220
421201013123002210
5131412113122213
64410014232340
7511146235662
oct114107330244
928335321386
1010219270308
11437456a045
121b924b56b0
13c6b260a10
146cd31dc32
153ec271e23
hex2611db0a4

10219270308 has 144 divisors (see below), whose sum is σ = 27456871680. Its totient is φ = 2939908608.

The previous prime is 10219270297. The next prime is 10219270349. The reversal of 10219270308 is 80307291201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447816 + ... + 4450112.

It is an arithmetic number, because the mean of its divisors is an integer number (190672720).

Almost surely, 210219270308 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 10219270308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728435840).

10219270308 is an abundant number, since it is smaller than the sum of its proper divisors (17237601372).

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

10219270308 is a wasteful number, since it uses less digits than its factorization.

10219270308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10219270308 in words is "ten billion, two hundred nineteen million, two hundred seventy thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 79 114 156 158 228 237 247 316 361 474 494 722 741 948 988 1027 1083 1444 1482 1501 2054 2166 2297 2964 3002 3081 4108 4332 4503 4594 4693 6004 6162 6891 9006 9188 9386 12324 13782 14079 18012 18772 19513 27564 28158 28519 29861 39026 43643 56316 57038 58539 59722 78052 85557 87286 89583 114076 117078 119444 130929 171114 174572 179166 181463 234156 261858 342228 358332 362926 370747 523716 544389 567359 725852 741494 829217 1088778 1112241 1134718 1482988 1658434 1702077 2177556 2224482 2269436 2359019 2487651 3316868 3404154 3447797 4448964 4718038 4975302 6808308 6895594 7077057 9436076 9950604 10343391 10779821 13791188 14154114 20686782 21559642 28308228 32339463 41373564 43119284 44821361 64678926 65508143 89642722 129357852 131016286 134464083 179285444 196524429 262032572 268928166 393048858 537856332 786097716 851605859 1703211718 2554817577 3406423436 5109635154 10219270308