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1010123032100 = 2252713234826197
BaseRepresentation
bin11101011001100000000…
…01100100011000100100
310120120022012200201220212
432230300001210120210
5113022212444011400
62052013310114552
7132656535051110
oct16546001443044
93516265621825
101010123032100
1135a433132826
121439281aba58
137433c602070
1436c66a74740
151b420328335
hexeb30064624

1010123032100 has 144 divisors (see below), whose sum is σ = 2815101988608. Its totient is φ = 305787778560.

The previous prime is 1010123032067. The next prime is 1010123032153. The reversal of 1010123032100 is 12303210101.

It is a super-4 number, since 4×10101230321004 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2203799 + ... + 2622398.

Almost surely, 21010123032100 is an apocalyptic number.

1010123032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010123032100 is an abundant number, since it is smaller than the sum of its proper divisors (1804978956508).

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

1010123032100 is a wasteful number, since it uses less digits than its factorization.

1010123032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826254 (or 4826247 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010123032100 its reverse (12303210101), we get a palindrome (1022426242201).

The spelling of 1010123032100 in words is "one trillion, ten billion, one hundred twenty-three million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 23 25 26 28 35 46 50 52 65 70 91 92 100 115 130 140 161 175 182 230 260 299 322 325 350 364 455 460 575 598 644 650 700 805 910 1150 1196 1300 1495 1610 1820 2093 2275 2300 2990 3220 4025 4186 4550 5980 7475 8050 8372 9100 10465 14950 16100 20930 29900 41860 52325 104650 209300 4826197 9652394 19304788 24130985 33783379 48261970 62740561 67566758 96523940 111002531 120654925 125481122 135133516 168916895 222005062 241309850 250962244 313702805 337833790 439183927 444010124 482619700 555012655 627405610 675667580 777017717 844584475 878367854 1110025310 1254811220 1443032903 1554035434 1568514025 1689168950 1756735708 2195919635 2220050620 2775063275 2886065806 3108070868 3137028050 3378337900 3885088585 4391839270 5550126550 5772131612 6274056100 7215164515 7770177170 8783678540 10101230321 10979598175 11100253100 14430329030 15540354340 19425442925 20202460642 21959196350 28860658060 36075822575 38850885850 40404921284 43918392700 50506151605 72151645150 77701771700 101012303210 144303290300 202024606420 252530758025 505061516050 1010123032100