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10123120150448 = 2419372141420361
BaseRepresentation
bin1001001101001111100011…
…1110110000011110110000
31022211202112122111221002112
42103103320332300132300
52311324122224303243
633310255221104452
72063241232351244
oct223237076603660
938752478457075
1010123120150448
113253211463378
121175b18558128
135857b58a4656
1426dd669d6424
151284d3cc2818
hex934f8fb07b0

10123120150448 has 80 divisors (see below), whose sum is σ = 21213786918240. Its totient is φ = 4663372953600.

The previous prime is 10123120150447. The next prime is 10123120150463. The reversal of 10123120150448 is 84405102132101.

It is not an unprimeable number, because it can be changed into a prime (10123120150447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23871788 + ... + 24292148.

It is an arithmetic number, because the mean of its divisors is an integer number (265172336478).

Almost surely, 210123120150448 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 10123120150448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606893459120).

10123120150448 is an abundant number, since it is smaller than the sum of its proper divisors (11090666767792).

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

10123120150448 is a wasteful number, since it uses less digits than its factorization.

10123120150448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422566 (or 422560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 10123120150448 its reverse (84405102132101), we get a palindrome (94528222282549).

The spelling of 10123120150448 in words is "ten trillion, one hundred twenty-three billion, one hundred twenty million, one hundred fifty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1406 2141 2812 4282 5624 8564 11248 17128 34256 40679 79217 81358 158434 162716 316868 325432 420361 633736 650864 840722 1267472 1505123 1681444 3010246 3362888 6020492 6725776 7986859 12040984 15553357 15973718 24081968 31106714 31947436 62213428 63894872 124426856 127789744 248853712 295513783 591027566 899992901 1182055132 1799985802 2364110264 3599971604 4728220528 7199943208 14399886416 17099865119 33299737337 34199730238 66599474674 68399460476 133198949348 136798920952 266397898696 273597841904 532795797392 632695009403 1265390018806 2530780037612 5061560075224 10123120150448