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1070088871401 = 314112432
BaseRepresentation
bin11111001001001100100…
…01000101110111101001
310210022002100000000000000
433210212101011313221
5120013020222341101
62135331514133213
7140211541220664
oct17444621056751
93708070000000
101070088871401
113829052a8400
12153482721209
1379ba7c5b504
1439b14b946db
151cc7ea7e486
hexf926445de9

1070088871401 has 135 divisors (see below), whose sum is σ = 1806304857357. Its totient is φ = 633456414360.

The previous prime is 1070088871393. The next prime is 1070088871427. The reversal of 1070088871401 is 1041788800701.

The square root of 1070088871401 is 1034451.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1070088871401 - 23 = 1070088871393 is a prime.

It is a super-2 number, since 2×10700888714012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070088871471) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24885787686 + ... + 24885787728.

Almost surely, 21070088871401 is an apocalyptic number.

1070088871401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1070088871401 is the 1034451-st square number.

1070088871401 is the 517226-th centered octagonal number.

It is an amenable number.

1070088871401 is a deficient number, since it is larger than the sum of its proper divisors (736215985956).

1070088871401 is an frugal number, since it uses more digits than its factorization.

1070088871401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 1070088871401 in words is "one trillion, seventy billion, eighty-eight million, eight hundred seventy-one thousand, four hundred one".

Divisors: 1 3 9 11 27 33 43 81 99 121 129 243 297 363 387 473 729 891 1089 1161 1419 1849 2187 2673 3267 3483 4257 5203 5547 6561 8019 9801 10449 12771 15609 16641 19683 20339 24057 29403 31347 38313 46827 49923 59049 61017 72171 88209 94041 114939 140481 149769 177147 183051 216513 223729 264627 282123 344817 421443 449307 531441 549153 649539 671187 793881 846369 1034451 1264329 1347921 1594323 1647459 1948617 2013561 2381643 2539107 3103353 3792987 4043763 4782969 4942377 5845851 6040683 7144929 7617321 9310059 11378961 12131289 14827131 17537553 18122049 21434787 22851963 27930177 34136883 36393867 44481393 52612659 54366147 64304361 68555889 83790531 102410649 109181601 133444179 163098441 192913083 205667667 251371593 307231947 327544803 400332537 489295323 578739249 754114779 921695841 982634409 1200997611 1467885969 2262344337 2765087523 2947903227 3602992833 4403657907 8295262569 8843709681 10808978499 13210973721 24885787707 32426935497 39632921163 97280806491 118898763489 356696290467 1070088871401