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1012332310122 = 2373714926916253
BaseRepresentation
bin11101011101100111011…
…01010010111001101010
310120210000011211200121210
432232303231102321222
5113041224032410442
62053020430413550
7133065352441650
oct16566355227152
93523004750553
101012332310122
1136036721a031
121442440612b6
1374602231773
1436dd6248dd0
151b4ee27919c
hexebb3b52e6a

1012332310122 has 128 divisors (see below), whose sum is σ = 2401430976000. Its totient is φ = 278475549696.

The previous prime is 1012332310117. The next prime is 1012332310153. The reversal of 1012332310122 is 2210132332101.

It is a super-2 number, since 2×10123323101222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62277748 + ... + 62294000.

It is an arithmetic number, because the mean of its divisors is an integer number (18761179500).

Almost surely, 21012332310122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012332310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200715488000).

1012332310122 is an abundant number, since it is smaller than the sum of its proper divisors (1389098665878).

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

1012332310122 is a wasteful number, since it uses less digits than its factorization.

1012332310122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16720.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1012332310122 its reverse (2210132332101), we get a palindrome (3222464642223).

The spelling of 1012332310122 in words is "one trillion, twelve billion, three hundred thirty-two million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 149 222 259 269 298 447 518 538 777 807 894 1043 1554 1614 1883 2086 3129 3766 5513 5649 6258 9953 11026 11298 16253 16539 19906 29859 32506 33078 38591 40081 48759 59718 69671 77182 80162 97518 113771 115773 120243 139342 209013 227542 231546 240486 280567 341313 418026 561134 601361 682626 841701 1202722 1482997 1683402 1804083 2421697 2965994 3608166 4209527 4372057 4448991 4843394 7265091 8419054 8744114 8897982 10380979 12628581 13116171 14530182 16951879 20761958 25257162 26232342 30604399 31142937 33903758 50855637 61208798 62285874 89602789 91813197 101711274 161766109 179205578 183626394 268808367 323532218 485298327 537616734 627219523 651436493 970596654 1132362763 1254439046 1302872986 1881658569 1954309479 2264725526 3397088289 3763317138 3908618958 4560055451 6794176578 9120110902 13680166353 24103150241 27360332706 48206300482 72309450723 144618901446 168722051687 337444103374 506166155061 1012332310122