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1020012101010 = 2325721193193877
BaseRepresentation
bin11101101011111010111…
…01010111110110010010
310121111211101201111012100
432311331131113312102
5113202441044213020
62100330451141230
7133456564542600
oct16657535276622
93544741644170
101020012101010
1136364826a651
12145827ba4816
137525731c426
143752419c870
151b7ed5c2a90
hexed7d757d92

1020012101010 has 144 divisors (see below), whose sum is σ = 3087618048216. Its totient is φ = 232948993536.

The previous prime is 1020012100973. The next prime is 1020012101027. The reversal of 1020012101010 is 101012100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 999746016129 + 20266084881 = 999873^2 + 142359^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020012100983 and 1020012101001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5164192 + ... + 5358068.

Almost surely, 21020012101010 is an apocalyptic number.

1020012101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020012101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543809024108).

1020012101010 is an abundant number, since it is smaller than the sum of its proper divisors (2067605947206).

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

1020012101010 is a wasteful number, since it uses less digits than its factorization.

1020012101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195097 (or 195087 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020012101010 its reverse (101012100201), we get a palindrome (1121024201211).

The spelling of 1020012101010 in words is "one trillion, twenty billion, twelve million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1193 1470 2205 2386 3579 4410 5965 7158 8351 10737 11930 16702 17895 21474 25053 35790 41755 50106 53685 58457 75159 83510 107370 116914 125265 150318 175371 193877 250530 292285 350742 375795 387754 526113 581631 584570 751590 876855 969385 1052226 1163262 1357139 1744893 1753710 1938770 2630565 2714278 2908155 3489786 4071417 5261130 5816310 6785695 8142834 8724465 9499973 12214251 13571390 17448930 18999946 20357085 24428502 28499919 40714170 47499865 56999838 61071255 85499757 94999730 122142510 142499595 170999514 231295261 284999190 427498785 462590522 693885783 854997570 1156476305 1387771566 1619066827 2081657349 2312952610 3238133654 3469428915 4163314698 4857200481 6938857830 8095334135 9714400962 10408286745 11333467789 14571601443 16190668270 20816573490 22666935578 24286002405 29143202886 34000403367 48572004810 56667338945 68000806734 72858007215 102001210101 113334677890 145716014430 170002016835 204002420202 340004033670 510006050505 1020012101010