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1002211131152 = 247115321537129
BaseRepresentation
bin11101001010110000111…
…00000011111100010000
310112210212211001112012102
432211120130003330100
5112410012022144102
62044224234415532
7132256504025360
oct16453034037420
93483784045172
101002211131152
11357043068510
1214229a5915a8
137367b3c687a
1436715d809a0
151b10a931402
hexe958703f10

1002211131152 has 160 divisors (see below), whose sum is σ = 2468095246080. Its totient is φ = 382872821760.

The previous prime is 1002211131139. The next prime is 1002211131169. The reversal of 1002211131152 is 2511311122001.

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, 140578724 + ... + 140585852.

It is an arithmetic number, because the mean of its divisors is an integer number (15425595288).

Almost surely, 21002211131152 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 1002211131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234047623040).

1002211131152 is an abundant number, since it is smaller than the sum of its proper divisors (1465884114928).

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

1002211131152 is a wasteful number, since it uses less digits than its factorization.

1002211131152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 1002211131152 its reverse (2511311122001), we get a palindrome (3513522253153).

The spelling of 1002211131152 in words is "one trillion, two billion, two hundred eleven million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 53 56 77 88 106 112 154 176 212 308 371 424 583 616 742 848 1166 1232 1484 2153 2332 2968 4081 4306 4664 5936 7129 8162 8612 9328 14258 15071 16324 17224 23683 28516 30142 32648 34448 47366 49903 57032 60284 65296 78419 94732 99806 114064 114109 120568 156838 165781 189464 199612 228218 241136 313676 331562 377837 378928 399224 456436 548933 627352 663124 755674 798448 798763 912872 1097866 1254704 1255199 1326248 1511348 1597526 1825744 2195732 2510398 2644859 2652496 3022696 3195052 4156207 4391464 5020796 5289718 6045392 6390104 8312414 8782928 8786393 10041592 10579436 12780208 15348737 16624828 17572786 20083184 21158872 29093449 30697474 33249656 35145572 42317744 58186898 61394948 66499312 70291144 107441159 116373796 122789896 140582288 168836107 214882318 232747592 245579792 337672214 429764636 465495184 675344428 813483061 859529272 1181852749 1350688856 1626966122 1719058544 2363705498 2701377712 3253932244 4727410996 5694381427 6507864488 8948313671 9454821992 11388762854 13015728976 17896627342 18909643984 22777525708 35793254684 45555051416 62638195697 71586509368 91110102832 125276391394 143173018736 250552782788 501105565576 1002211131152