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101000150432512 = 2841131241130467
BaseRepresentation
bin10110111101101111101110…
…000101101011101100000000
3111020121112001010210201101021
4112331233232011223230000
5101214241302002320022
6554450454545315224
730163006611432112
oct2675575605535400
9436545033721337
10101000150432512
112a1aaa1793a261
12b3b260a035b14
1344483726324b6
141ad260d2173b2
15ba23a434d7c7
hex5bdbee16bb00

101000150432512 has 144 divisors (see below), whose sum is σ = 208192639906944. Its totient is φ = 48870388736000.

The previous prime is 101000150432507. The next prime is 101000150432513. The reversal of 101000150432512 is 215234051000101.

It is not an unprimeable number, because it can be changed into a prime (101000150432513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315051903 + ... + 3315082369.

It is an arithmetic number, because the mean of its divisors is an integer number (1445782221576).

Almost surely, 2101000150432512 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 101000150432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104096319953472).

101000150432512 is an abundant number, since it is smaller than the sum of its proper divisors (107192489474432).

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

101000150432512 is a wasteful number, since it uses less digits than its factorization.

101000150432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33066 (or 33052 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 101000150432512 in words is "one hundred one trillion, one hundred fifty million, four hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 131 164 256 262 328 524 656 1048 1312 2096 2411 2624 4192 4822 5248 5371 8384 9644 10496 10742 16768 19288 21484 30467 33536 38576 42968 60934 77152 85936 98851 121868 154304 171872 197702 243736 308608 315841 343744 395404 487472 617216 631682 687488 790808 974944 1249147 1263364 1374976 1581616 1949888 2498294 2526728 3163232 3899776 3991177 4996588 5053456 6326464 7799552 7982354 9993176 10106912 12652928 12949481 15964708 19986352 20213824 25305856 25898962 31929416 39972704 40427648 51797924 63858832 73455937 79945408 80855296 103595848 127717664 146911874 159890816 163638257 207191696 255435328 293823748 319781632 327276514 414383392 510870656 587647496 654553028 828766784 1021741312 1175294992 1309106056 1657533568 2350589984 2618212112 3011693417 3315067136 4701179968 5236424224 6023386834 9402359936 9622727747 10472848448 12046773668 18804719872 19245455494 20945696896 24093547336 38490910988 41891393792 48187094672 76981821976 96374189344 153963643952 192748378688 307927287904 385496757376 394531837627 615854575808 770993514752 789063675254 1231709151616 1578127350508 2463418303232 3156254701016 6312509402032 12625018804064 25250037608128 50500075216256 101000150432512