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1101125551152 = 2431147113392669
BaseRepresentation
bin10000000001100000001…
…100101000010000110000
310220021012022222200122110
4100001200030220100300
5121020101120114102
62201503342005320
7142360626516534
oct20014014502060
93807168880573
101101125551152
11394a91738260
121594a4876840
137cab3033c83
143b41ab77bc4
151d9996d286c
hex10060328430

1101125551152 has 160 divisors (see below), whose sum is σ = 3197251077120. Its totient is φ = 323684085760.

The previous prime is 1101125551121. The next prime is 1101125551153. The reversal of 1101125551152 is 2511555211011.

It is not an unprimeable number, because it can be changed into a prime (1101125551153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2607874 + ... + 3000542.

It is an arithmetic number, because the mean of its divisors is an integer number (19982819232).

Almost surely, 21101125551152 is an apocalyptic number.

1101125551152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101125551152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598625538560).

1101125551152 is an abundant number, since it is smaller than the sum of its proper divisors (2096125525968).

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

1101125551152 is a wasteful number, since it uses less digits than its factorization.

1101125551152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392851 (or 392845 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 30.

The spelling of 1101125551152 in words is "one trillion, one hundred one billion, one hundred twenty-five million, five hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 113 132 141 176 188 226 264 282 339 376 452 517 528 564 678 752 904 1034 1128 1243 1356 1551 1808 2068 2256 2486 2712 3102 3729 4136 4972 5311 5424 6204 7458 8272 9944 10622 12408 14916 15933 19888 21244 24816 29832 31866 42488 58421 59664 63732 84976 116842 127464 175263 233684 254928 350526 392669 467368 701052 785338 934736 1178007 1402104 1570676 2356014 2804208 3141352 4319359 4712028 6282704 8638718 9424056 12958077 17277436 18455443 18848112 25916154 34554872 36910886 44371597 51832308 55366329 69109744 73821772 88743194 103664616 110732658 133114791 147643544 177486388 203009873 207329232 221465316 266229582 295287088 354972776 406019746 442930632 488087567 532459164 609029619 709945552 812039492 885861264 976175134 1064918328 1218059238 1464262701 1624078984 1952350268 2085465059 2129836656 2436118476 2928525402 3248157968 3904700536 4170930118 4872236952 5857050804 6256395177 7809401072 8341860236 9744473904 11714101608 12512790354 16683720472 22940115649 23428203216 25025580708 33367440944 45880231298 50051161416 68820346947 91760462596 100102322832 137640693894 183520925192 275281387788 367041850384 550562775576 1101125551152